Problem 1AYP: 4 3 = ; 8 2/3 = ; 3 2 = . (pp. A8-A9 and pp, A89-A91) Problem 2AYP: Solve: x 2 +3x=4 (pp. A47-A52) Problem 3AYP: True or False To graph y= (x2) 3 , shift the graph of y= x 3 to the left 2 units. (pp. 106-114) Problem 4AYP: Find the average rate of change of f( x )=3x5 from x=0 to x=4 . (pp. 88-89; 131-134) Problem 5AYP: True or False The function f(x)= 2x x3 has y=2 as a horizontal asymptote. (pp. 227-229) Problem 6CV: A( n ) _______ is a function of the form f( x )=C a x , where a0 , a1 , and C0 are real numbers. The... Problem 7CV: For an exponential function f( x )=C a x , f( x+1 ) f( x ) = . Problem 8CV: True or False The domain of the exponential function f( x )= a x , where a0 and a1 , is the set of... Problem 9CV: True or False The graph of the exponential function f( x )= a x , where a0 and a1 , has no... Problem 10CV: The graph of every exponential function f( x )= a x where a0 and a1 , passes through three points... Problem 11CV: 11. If 3 x = 3 4 , then x= _______. Problem 12CV: 12. True or False The graphs of y= 3 x and y= ( 1 3 ) x are identical. Problem 13CV: Which of the following exponential functions is an increasing function? (a) f(x)= 0.5 x (b) f(x)= (... Problem 14CV: Which of the following is the range of the exponential function f(x)= a x , a0 and a1 ? (a) ( , ) ... Problem 15SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 16SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 17SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 18SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 19SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 20SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 21SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 22SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 23SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 24SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 25SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 26SB: In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three... Problem 27SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 28SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 29SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 30SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 31SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 32SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 33SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 34SB: In Problems 27-34, determine whether the given function is linear, exponential, or neither. For... Problem 35SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 36SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 37SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 38SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 39SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 40SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 41SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 42SB: In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the... Problem 43SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 44SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 45SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 46SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 47SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 48SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 49SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 50SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 51SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 52SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 53SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 54SB: In Problems 43-54, use transformations to graph each function. Determine the domain, range, and... Problem 55SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 56SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 57SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 58SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 59SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 60SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 61SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 62SB: In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each... Problem 63SB: In Problems 63-82, solve each equation. 7 x = 7 3 Problem 64SB: In Problems 63-82, solve each equation. 5 x = 5 6 Problem 65SB: In Problems 63-82, solve each equation. 2 x =16 Problem 66SB: In Problems 63-82, solve each equation. 3 x =81 Problem 67SB: In Problems 63-82, solve each equation. ( 1 5 ) x = 1 25 Problem 68SB: In Problems 63-82, solve each equation. ( 1 4 ) x = 1 64 Problem 69SB: In Problems 63-82, solve each equation. 2 2x1 =4 Problem 70SB: In Problems 63-82, solve each equation. 5 x+3 = 1 5 Problem 71SB: In Problems 63-82, solve each equation. 71. 3 x 3 = 9 x Problem 72SB: In Problems 63-82, solve each equation. 72. 4 x 2 = 2 x Problem 73SB: In Problems 63-82, solve each equation. 73. 8 x+14 = 16 x Problem 74SB: In Problems 63-82, solve each equation. 74. 9 x+ 15 = 27 x Problem 75SB: In Problems 63-82, solve each equation. 75. 3 x 2 7 = 27 2x Problem 76SB: In Problems 63-82, solve each equation. 76. 5 x 2 +8 = 125 2x Problem 77SB: In Problems 63-82, solve each equation. 77. 4 x .2 x 2 = 16 2 Problem 78SB: In Problems 63-82, solve each equation. 78. 9 2x .27 x 2 = 3 1 Problem 79SB: In Problems 63-82, solve each equation. 79. e x = e 3x+8 Problem 80SB: In Problems 63-82, solve each equation. 80. e 3x = e 2x Problem 81SB: In Problems 63-82, solve each equation. 81. e x 2 = e 3x . 1 e 2 Problem 82SB: In Problems 63-82, solve each equation. 82. ( e 4 ) x . e x 2 = e 12 Problem 83SB: 83. If 4 x =7 , what does 4 2 x equal? Problem 84SB: 84. If 2 x =3 , what does 4 x equal? Problem 85SB: 85. If 3 x =2 , what does 3 2 x equal? Problem 86SB: 86. If 5 x =3 , what does 5 3 x equal? Problem 87SB: 87. If 9 x =25 , what does 3 x equal? Problem 88SB: 88. If 2 3x = 1 1000 , what does 2 x equal? Problem 89SB: In Problems 89-92, determine the exponential function whose graph is given. 89. Problem 90SB: In Problems 89-92, determine the exponential function whose graph is given. 90. Problem 91SB: In Problems 89-92, determine the exponential function whose graph is given. 91. Problem 92SB: In Problems 89-92, determine the exponential function whose graph is given. 92. Problem 93SB: 93. Find an exponential function with horizontal asymptote y=2 whose graph contains the points ( 0,3... Problem 94SB: 94. Find an exponential function with horizontal asymptote y=3 whose graph contains the points ( 0,2... Problem 95MP: 95. Suppose that f(x)= 2 x . a) What is f(4) ? What point is on the graph of f? b) If f(x)= 1 16 ,... Problem 96MP: 96. Suppose that f(x)= 3 x . a) What is f( 4 ) ? What point is on the graph of f? b) If f(x)= 1 9 ,... Problem 97MP: 97. Suppose that g(x)= 4 x +2 . a) What is g( 1 ) ? What point is on the graph of g? b) If g(x)=66 ,... Problem 98MP: 98. Suppose that g(x)= 5 x 3 . a) What is g( 1 ) ? What point is on the graph of g? b) If g(x)=122 ,... Problem 99MP: 99. Suppose that H(x)= ( 1 2 ) x 4 . a) What is H(6) ? What point is on the graph of H? b) If H( x... Problem 100MP: 100. Suppose that F(x)= ( 1 3 ) x 3 . a) What is F( 5 ) ? What point is on the graph of F? b) If F(... Problem 101MP: In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and... Problem 102MP: In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and... Problem 103MP: In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and... Problem 104MP: In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and... Problem 105AE: 105. Optics If a single pane of glass obliterates 3 of the light passing through it, the percent p... Problem 106AE: 106. Atmospheric Pressure The atmospheric pressure p on a balloon or airplane decreases with... Problem 107AE: 107. Depreciation The price p, in dollars, of a Honda Civic EX-L sedan that is x years old is... Problem 108AE: 108. Healing of Wounds The normal healing of wounds can be modeled by an exponential function. If A... Problem 109AE: 109. Advanced-Stage Pancreatic Cancer The percentage of patients P who have survived t years after... Problem 110AE: 110. Endangered Species In a protected environment, the population P of a certain endangered species... Problem 111AE: 111. Drug Medication The function D(h)=5 e 0.4h can be used to find the number of milligrams D of a... Problem 112AE: 112. Spreading of Rumors A model for the number N of people in a college community who have heard a... Problem 113AE: 113. Exponential Probability Between 12:00 PM and 1:00 PM. cars arrive at Citibank's drive-thru at... Problem 114AE: 114. Exponential Probability Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9... Problem 115AE: 115. Poisson Probability Between 5:00 PM and 6:00 PM, cars arrive at a McDonald’s drive-thru at... Problem 116AE: 116. Poisson Probability People enter a line for the Demon Roller Coaster at the rate of 4 per... Problem 117AE: 117. Relative Humidity The relative humidity is the ratio (expressed as a percent) of the amount of... Problem 118AE: 118. Learning Curve Suppose that a student has 500 vocabulary words to learn. If the student learns... Problem 119AE: 119. Current in an RL Circuit The equation governing the amount of current I (in amperes) after time... Problem 120AE: 120. Current in an RC Circuit The equation governing the amount of current I (in amperes) after lime... Problem 121AE: 121. If f is an exponential function of the form f(x)=C a x with growth factor 3, and if f( 6 )=12 ,... Problem 122AE: 122. Another Formula for e Use a calculator to compute the values of 2+ 1 2! + 1 3! ++ 1 n! for... Problem 123AE: 123. Another Formula for e Use a calculator to compute the various values of the expression. Compare... Problem 124AE Problem 125AE Problem 126AE: 126. If f(x)= a x , show that f(x)= 1 f(x) Problem 127AE: 127. If f(x)= a x , show that f(ax)= [f(x)] . Problems 128 and 129 provide definitions for two... Problem 128AE: 128. The hyperbolic sine function, designated by sinh x, is defined as sinhx= 1 2 ( e x e x ) (a)... Problem 129AE: 129. The hyperbolic cosine function, designated by cosh x, is defined as coshx= 1 2 ( e x + e x )... Problem 130AE: 130. Historical Problem Pierre de Fermat (1601-1665) conjectured that the function f(x)= 2 ( 2 x )... Problem 131DW: 131. The bacteria in a 4-liter container double every minute. After 60 minutes the container is... Problem 132DW: 132. Explain in your own words what the number e is. Provide at least two applications that use this... Problem 133DW: 133. Do you think that there is a power function that increases more rapidly than an exponential... Problem 134DW: 134. As the base a of an exponential function f(x)= a x , where a1 , increases, what happens to the... Problem 135DW: 135. The graphs of y= a x and y= ( 1 a ) x are identical. Why? Problem 136RYK: Problems 136-139 are based on material learned earlier in the course. The purpose of these problems... Problem 137RYK: Problems 136-139 are based on material learned earlier in the course. The purpose of these problems... Problem 138RYK: Problems 136-139 are based on material learned earlier in the course. The purpose of these problems... Problem 139RYK: Problems 136-139 are based on material learned earlier in the course. The purpose of these problems... format_list_bulleted
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning