Precalculus
Precalculus
9th Edition
ISBN: 9780321716835
Author: Michael Sullivan
Publisher: Addison Wesley
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Textbook Question
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Chapter 6.5, Problem 37AYU

In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.

y   =   1 2 tan ( 1 4 x )     2

Expert Solution & Answer
Check Mark
To determine

To find: Domain and range.

Answer to Problem 37AYU

Solution:

Domain is { x|x  2πk, k is an odd integer } .

Range = {y  < y < } .

Explanation of Solution

Given:

y =  1 2 tan( 1 4 x )  2

Calculation:

The graph y =  1 2 tan( 1 4 x )  2 .

Precalculus, Chapter 6.5, Problem 37AYU

By the graph we determine that the domain of this function is the set of all real numbers where cosecant is defined, which excludes points x where vertical asymptotes occur. Since tan( 1 4 x ) =  sin( 1 4 x ) cos( 1 4 x ) this happens when cos( 1 4 x ) = 0  ( 1 4 x ) =  ( 2k + 1 )π 2   x = 2( 2k + 1 )π . Therefore the domain is { x|x  2( 2k + 1 )π, k is an integer } . Due to the positive and negative vertical asymptotes the range is {yy    < y < } . This agrees with the graph provided. (Notice the vertical shift doesn’t change the domain or the range).

Therefore the,

Domain is { x|x  2πk, k is an odd integer } .

Range = {y  < y < } .

Chapter 6 Solutions

Precalculus

Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 11-22, draw each angle in standard...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems, convert each angle in degrees to...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 23-34, convert each angle in degrees...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 3546, convert each angle in...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems, convert each angle in radians to...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 3546, convert each angle in...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems, convert each angle in radians to...Ch. 6.1 - In Problems 35—46, convert each angle in radians...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 47-52, convert each angle in degrees...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 5358, convert each angle in radians to...Ch. 6.1 - In Problems 53-58, convert each angle in radians...Ch. 6.1 - In Problems 5358, convert each angle in radians to...Ch. 6.1 - Prob. 58AYUCh. 6.1 - In Problems 59-64, convert each angle to a decimal...Ch. 6.1 - In Problems 59-64, convert each angle to a decimal...Ch. 6.1 - Prob. 61AYUCh. 6.1 - Prob. 62AYUCh. 6.1 - In Problems 59-64, convert each angle to a decimal...Ch. 6.1 - Prob. 64AYUCh. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 65-70, convert each angle to DMS form....Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 7178, s denotes the length of the arc...Ch. 6.1 - Prob. 74AYUCh. 6.1 - In Problems 7178, s denotes the length of the arc...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 71-78, s denotes the length of the are...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - Prob. 84AYUCh. 6.1 - In Problems 79-86, A denotes the area of the...Ch. 6.1 - Prob. 86AYUCh. 6.1 - Prob. 87AYUCh. 6.1 - Prob. 88AYUCh. 6.1 - Prob. 89AYUCh. 6.1 - Prob. 90AYUCh. 6.1 - Movement of a Minute Hand The minute hand of a...Ch. 6.1 - Movement of a Pendulum A pendulum swings through...Ch. 6.1 - Area of a Sector Find the area of the sector of a...Ch. 6.1 - Area of a Sector Find the area of the sector of a...Ch. 6.1 - Watering a Lawn A water sprinkler sprays water...Ch. 6.1 - Designing a Water Sprinkler An engineer is asked...Ch. 6.1 - Prob. 97AYUCh. 6.1 - Prob. 98AYUCh. 6.1 - Prob. 99AYUCh. 6.1 - Prob. 101AYUCh. 6.1 - Prob. 102AYUCh. 6.1 - Prob. 103AYUCh. 6.1 - Prob. 104AYUCh. 6.1 - Prob. 105AYUCh. 6.1 - Prob. 106AYUCh. 6.1 - Prob. 107AYUCh. 6.1 - Prob. 108AYUCh. 6.1 - Prob. 109AYUCh. 6.1 - Prob. 110AYUCh. 6.1 - Prob. 111AYUCh. 6.1 - Prob. 112AYUCh. 6.1 - Prob. 113AYUCh. 6.1 - Prob. 100AYUCh. 6.1 - Prob. 115AYUCh. 6.1 - Prob. 116AYUCh. 6.1 - Prob. 117AYUCh. 6.1 - Prob. 118AYUCh. 6.1 - Prob. 123AYUCh. 6.1 - Prob. 124AYUCh. 6.1 - Prob. 119AYUCh. 6.1 - Prob. 120AYUCh. 6.1 - Prob. 121AYUCh. 6.1 - Prob. 122AYUCh. 6.1 - Prob. 114AYUCh. 6.1 - Prob. 125AYUCh. 6.2 - In a right triangle, with legs a and b and...Ch. 6.2 - The value of the function f( x )=3x7 at 5 is...Ch. 6.2 - True or False For a function y=f( x ) , for each x...Ch. 6.2 - If two triangles are similar, then corresponding...Ch. 6.2 - What point is symmetric with respect to the y-axis...Ch. 6.2 - Prob. 6AYUCh. 6.2 - Which function takes as input a real number t that...Ch. 6.2 - The point on the unit circle that corresponds to =...Ch. 6.2 - The point on the unit circle that corresponds to =...Ch. 6.2 - Prob. 12AYUCh. 6.2 - Prob. 11AYUCh. 6.2 - True or False Exact values can be found for the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 13-20, P=( x,y ) is the point on the...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 21-30, find the exact value. Do not...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 31-46, find the exact value of each...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 47-64, find the exact values of the...Ch. 6.2 - In Problems 65-76, use a calculator to find the...Ch. 6.2 - In Problems 65-76, use a calculator to find the...Ch. 6.2 - In Problems 65-76, use a calculator to find the...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - In Problems 77-84, a point on the terminal side of...Ch. 6.2 - Find the exact value of:...Ch. 6.2 - Find the exact value of: tan 60 +tan 150Ch. 6.2 - Find the exact value of: sin 40 +sin 130 +sin...Ch. 6.2 - Find the exact value of: tan 40 +tan 140Ch. 6.2 - If f( )=sin=0.1 , find f( + ) .Ch. 6.2 - If f( )=cos=0.3 , find f( + ) .Ch. 6.2 - If f( )=tan=3 , find f( + ) .Ch. 6.2 - If f( )=cot=2 , find f( + ) .Ch. 6.2 - If sin= 1 5 , find csc .Ch. 6.2 - If cos= 2 3 , find sec .Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - In Problems 95-106, f( )=sin and g( )=cos . Find...Ch. 6.2 - Prob. 105AYUCh. 6.2 - Prob. 106AYUCh. 6.2 - In Problems 107-116, f( x )=sinx , g( x )=cosx ,...Ch. 6.2 - Prob. 108AYUCh. 6.2 - In Problems 107-116, f( x )=sinx , g( x )=cosx ,...Ch. 6.2 - Prob. 110AYUCh. 6.2 - In Problems 107-116, f( x )=sinx , g( x )=cosx ,...Ch. 6.2 - Prob. 112AYUCh. 6.2 - Prob. 113AYUCh. 6.2 - Prob. 114AYUCh. 6.2 - In Problems 107-116, f( x )=sinx , g( x )=cosx ,...Ch. 6.2 - In Problems 107-116, f( x )=sinx , g( x )=cosx ,...Ch. 6.2 - Find two negative and three positive angles,...Ch. 6.2 - Find two negative and three positive angles,...Ch. 6.2 - Prob. 119AYUCh. 6.2 - Use a calculator in radian mode to complete the...Ch. 6.2 - Prob. 121AYUCh. 6.2 - For Problems 121-124, use the following...Ch. 6.2 - For Problems 121-124, use the following...Ch. 6.2 - For Problems 121-124, use the following...Ch. 6.2 - Prob. 125AYUCh. 6.2 - Prob. 126AYUCh. 6.2 - Prob. 127AYUCh. 6.2 - Prob. 128AYUCh. 6.2 - Prob. 129AYUCh. 6.2 - Prob. 130AYUCh. 6.2 - Prob. 131AYUCh. 6.2 - Prob. 132AYUCh. 6.2 - Prob. 133AYUCh. 6.2 - Prob. 134AYUCh. 6.2 - Prob. 135AYUCh. 6.3 - The domain of the function f(x)= x+1 2x+1 is _____...Ch. 6.3 - A function for which f(x)=f(x) for all x in the...Ch. 6.3 - True or False The function f(x)= x is even....Ch. 6.3 - True or False The equation x 2 +2x= (x+1) 2 1 is...Ch. 6.3 - The sine, cosine, cosecant, and secant functions...Ch. 6.3 - The domain of the tangent function is _____ .Ch. 6.3 - Which of the following is not in the range of the...Ch. 6.3 - Which of the following functions is even? a....Ch. 6.3 - sin 2 + cos 2 = _____ .Ch. 6.3 - True or False sec= 1 sinCh. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - ln Problems 11-26, use the fact that the...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - In Problems 27—34, name the quadrant in which...Ch. 6.3 - Prob. 34AYUCh. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In problems 35-42, sin and cos are given. Find the...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 43-58, find the exact value of each of...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - Prob. 66AYUCh. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - Prob. 68AYUCh. 6.3 - Prob. 69AYUCh. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - Prob. 72AYUCh. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - In Problems 59-76, use the even-odd properties to...Ch. 6.3 - Prob. 76AYUCh. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - In Problems 77-88, use properties of the...Ch. 6.3 - If sin=0.3 , find the value of: sin+sin( +2 )+sin(...Ch. 6.3 - If cos=0.2 , find the value of: cos+cos( +2 )+cos(...Ch. 6.3 - If tan=3 , find the value of: tan+tan( + )+tan( +2...Ch. 6.3 - If cot=2 , find the value of: cot+cot( - )+cot( -2...Ch. 6.3 - Find the exact value of: sin 1 + sin2 + sin3 ++...Ch. 6.3 - Find the exact value of: cos 1 + cos2 + cos3 ++...Ch. 6.3 - What is the domain of the sine function?Ch. 6.3 - What is the domain of the cosine function?Ch. 6.3 - For what numbers is f( )=tan not defined?Ch. 6.3 - For what numbers is f( )=cot not defined?Ch. 6.3 - For what numbers is f( )=sec not defined?Ch. 6.3 - For what numbers is f( )=csc not defined?Ch. 6.3 - What is the range of the sine function?Ch. 6.3 - What is the range of the cosine function?Ch. 6.3 - What is the range of the tangent function?Ch. 6.3 - What is the range of the cotangent function?Ch. 6.3 - What is the range of the secant function?Ch. 6.3 - What is the range of the cosecant function?Ch. 6.3 - Is the sine function even, odd, or neither? Is its...Ch. 6.3 - Is the cosine function even, odd, or neither? Is...Ch. 6.3 - Is the tangent function even, odd, or neither? Is...Ch. 6.3 - Is the cotangent function even, odd, or neither?...Ch. 6.3 - Is the cotangent function even, odd, or neither?...Ch. 6.3 - Is the cotangent function even, odd, or neither?...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - In Problems 113-118, use the periodic and even-odd...Ch. 6.3 - Calculating the Time of a Trip From a parking lot,...Ch. 6.3 - Calculating the Time of a Trip Two oceanfront...Ch. 6.3 - Prob. 121AYUCh. 6.3 - Prob. 122AYUCh. 6.3 - Prob. 123AYUCh. 6.3 - Prob. 124AYUCh. 6.3 - Prob. 125AYUCh. 6.3 - Prob. 126AYUCh. 6.3 - Prob. 127AYUCh. 6.3 - Prob. 128AYUCh. 6.3 - Prob. 129AYUCh. 6.3 - Prob. 130AYUCh. 6.3 - Prob. 131AYUCh. 6.3 - Prob. 132AYUCh. 6.3 - Prob. 133AYUCh. 6.3 - Prob. 134AYUCh. 6.3 - Prob. 135AYUCh. 6.3 - Prob. 136AYUCh. 6.4 - Use transformations to graph y=3 x 2 . (pp....Ch. 6.4 - Use transformations to graph y= 2x . (pp. 106-114)Ch. 6.4 - The maximum value of y=sinx , 0x2 , is ____ and...Ch. 6.4 - The function y=Asin( x ) , A0 ,has amplitude 3 and...Ch. 6.4 - The function y=3cos( 6x ) has amplitude ____ and...Ch. 6.4 - True or False The graphs of y=sinx and y=cosx are...Ch. 6.4 - True or false For y=2sin( x ) , the amplitude is 2...Ch. 6.4 - True or False The graph of the sine function has...Ch. 6.4 - f( x )=sinx (a) What is the y-intercept of the...Ch. 6.4 - g( x )=cosx (a) What is the y-intercept of the...Ch. 6.4 - Prob. 11AYUCh. 6.4 - Prob. 12AYUCh. 6.4 - Prob. 13AYUCh. 6.4 - Prob. 14AYUCh. 6.4 - Prob. 15AYUCh. 6.4 - Prob. 16AYUCh. 6.4 - Prob. 17AYUCh. 6.4 - Prob. 18AYUCh. 6.4 - Prob. 19AYUCh. 6.4 - Prob. 20AYUCh. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 23-32, match the given function to one...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 33-56, graph each function using...Ch. 6.4 - In Problems 57-60, write the equation of a sine...Ch. 6.4 - In Problems 57-60, write the equation of a sine...Ch. 6.4 - In Problems 57-60, write the equation of a sine...Ch. 6.4 - In Problems 57-60, write the equation of a sine...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 61-74, find an equation for each...Ch. 6.4 - In Problems 75-78, find the average rate of change...Ch. 6.4 - In Problems 75-78, find the average rate of change...Ch. 6.4 - In Problems 75-78, find the average rate of change...Ch. 6.4 - In Problems 75-78, find the average rate of change...Ch. 6.4 - In Problems 79-82, find ( fg ) (x) and (gf) ( x )...Ch. 6.4 - Prob. 78AYUCh. 6.4 - Prob. 79AYUCh. 6.4 - Prob. 80AYUCh. 6.4 - Prob. 81AYUCh. 6.4 - Prob. 82AYUCh. 6.4 - Prob. 83AYUCh. 6.4 - Prob. 84AYUCh. 6.4 - Prob. 85AYUCh. 6.4 - Prob. 86AYUCh. 6.4 - Alternating Current (ac) Circuits The current I ,...Ch. 6.4 - Alternating Current (ac) Circuits The current I ,...Ch. 6.4 - Prob. 89AYUCh. 6.4 - Prob. 90AYUCh. 6.4 - Prob. 91AYUCh. 6.4 - Prob. 92AYUCh. 6.4 - Prob. 93AYUCh. 6.4 - Prob. 94AYUCh. 6.4 - Prob. 95AYUCh. 6.4 - Prob. 97AYUCh. 6.4 - Prob. 96AYUCh. 6.4 - Prob. 98AYUCh. 6.4 - Prob. 99AYUCh. 6.4 - Prob. 100AYUCh. 6.4 - Prob. 101AYUCh. 6.4 - Prob. 102AYUCh. 6.4 - Prob. 103AYUCh. 6.4 - Prob. 104AYUCh. 6.4 - Prob. 105AYUCh. 6.4 - Prob. 106AYUCh. 6.4 - Prob. 107AYUCh. 6.4 - Prob. 108AYUCh. 6.5 - The graph of y= 3x6 x4 has a vertical asymptote....Ch. 6.5 - True or False If x=3 is a vertical asymptote of a...Ch. 6.5 - The graph of y=tanx is symmetric with respect to...Ch. 6.5 - The graph of y=secx is symmetric with respect to...Ch. 6.5 - It is easiest to graph y=secx by first sketching...Ch. 6.5 - True or False The graphs of...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 7-16, if necessary, refer to the...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 17-40, graph each function. Be sure to...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 41-44, find the average rale of change...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 45-48, find ( fg )( x )and( gf )( x )...Ch. 6.5 - In Problems 49 and 50, graph each function. f( x...Ch. 6.5 - In Problems 49 and 50, graph each function. g( x...Ch. 6.5 - Carrying a Ladder around a Corner Two hallways,...Ch. 6.5 - A Rotating Beacon Suppose that a fire truck is...Ch. 6.5 - Exploration Graph y=tanxandy=cot( x+ 2 ) Do you...Ch. 6.6 - For the graph of y=Asin( x ) , the number is...Ch. 6.6 - True or False A graphing utility requires only two...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 3-14, find the amplitude, period, and...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - In Problems 15-18, write the equation of a sine...Ch. 6.6 - Prob. 19AYUCh. 6.6 - Prob. 20AYUCh. 6.6 - Prob. 21AYUCh. 6.6 - Prob. 22AYUCh. 6.6 - Prob. 23AYUCh. 6.6 - Prob. 24AYUCh. 6.6 - Prob. 25AYUCh. 6.6 - Prob. 26AYUCh. 6.6 - Prob. 27AYUCh. 6.6 - Prob. 28AYUCh. 6.6 - Prob. 29AYUCh. 6.6 - Prob. 30AYUCh. 6.6 - Prob. 31AYUCh. 6.6 - Prob. 32AYUCh. 6.6 - Prob. 33AYUCh. 6.6 - Prob. 34AYUCh. 6.6 - Prob. 35AYUCh. 6.6 - Prob. 36AYUCh. 6.6 - Prob. 37AYUCh. 6.6 - Prob. 38AYUCh. 6.6 - Prob. 39AYUCh. 6.6 - Prob. 40AYUCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Prob. 81RECh. 6 - Prob. 82RECh. 6 - Prob. 83RECh. 6 - Prob. 84RECh. 6 - Prob. 85RECh. 6 - Prob. 86RECh. 6 - Prob. 87RECh. 6 - Prob. 88RECh. 6 - Prob. 89RECh. 6 - Prob. 90RECh. 6 - Prob. 91RECh. 6 - Prob. 92RECh. 6 - Prob. 93RECh. 6 - Prob. 94RECh. 6 - Prob. 95RECh. 6 - Prob. 96RECh. 6 - Prob. 97RECh. 6 - In Problem, convert each angle in degrees to...Ch. 6 - In Problem 13, convert each angle in degrees to...Ch. 6 - In problem 13, convert each angle in degrees to...Ch. 6 - In Problem 46, convert each angle in radius to...Ch. 6 - In Problem, convert each angle in radius to...Ch. 6 - In Problem, convert each angle in radius to...Ch. 6 - In Problem 712, find the exact value of each...Ch. 6 - In Problem 712, find the exact value of each...Ch. 6 - In Problem 712, find the exact value of each...Ch. 6 - In Problem, find the exact value of each...Ch. 6 - In Problem 712, find the exact value of each...Ch. 6 - Prob. 12CTCh. 6 - Prob. 13CTCh. 6 - In Problem 1316, use a calculator to evaluate each...Ch. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - 17. Fill in each table entry with sign of each...Ch. 6 - 18. If and, find. Ch. 6 - In Problems 1921, find the value of the remaining...Ch. 6 - Prob. 20CTCh. 6 - In Problems 1921, find the value of the remaining...Ch. 6 - In Problems, the point is on the terminal side of...Ch. 6 - In Problems, the point is on the terminal side of...Ch. 6 - In Problems 2224, the point (x,y) is on the...Ch. 6 - In Problems and, graph the function. 25. Ch. 6 - In Problems and, graph the function. 25. Ch. 6 - Write an equation for a sinusoidal graph with the...Ch. 6 - Logan has a garden in the shape of a sector of a...Ch. 6 - Hungarian Adrian Annus won the gold medal for the...Ch. 6 - Find the real solutions, if any, of the equation Ch. 6 - 2. Find an equation for the line with slope ...Ch. 6 - Prob. 3CRCh. 6 - 4. Describe the equation. Graph it. Ch. 6 - 5. Describe the equation Graph it. Ch. 6 - 6. Use the transformation to graph the function Ch. 6 - 7. Sketch a graph of each of the following...Ch. 6 - Find the inverse function of f(x)=3x2Ch. 6 - 9. Find the exact value of. Ch. 6 - Graph y=3sin(2x).Ch. 6 - 11. Find the exact value of. Ch. 6 - 12. Find an exponential function for the following...Ch. 6 - 13. Find a sinusoidal function for the following...Ch. 6 - 14. (a) Find a linear function that contains the...Ch. 6 - (a) Find a polynomial function of degree 3 whose...
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