College Algebra: Graphs and Models (6th Edition)
6th Edition
ISBN: 9780134179032
Author: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Publisher: PEARSON
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Textbook Question
Chapter 2.5, Problem 66E
A graph of
66.
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Your cardiac index is your heart's output, in liters of blood per
minute, divided by your body's surface area, in square meters. The
cardiac index, C(x), can be modeled by
7.644
C(x) =
10 s xs 80,
where x is an individual's age, in years. The graph of the function
is shown. Use the function to solve Exercises 95–96.
7.644
C(x) =
%3D
10 20 30 40 50 60 70 80 90
Age
95. a. Find the cardiac index of a 32-year-old. Express the
denominator in simplified radical form and reduce the
fraction.
b. Use the form of the answer in part (a) and a calculator
to express the cardiac index to the nearest hundredth.
Identify your solution as a point on the graph.
96. a. Find the cardiac index of an 80-year-old. Express the
denominator in simplified radical form and reduce the
fraction.
Cardiac Index
liters per minute
squar e met ers
654 32
The figure shows the graphs of the cost and revenue functions
for a company that manufactures and sells small radios. Use the
information in the figure to solve Exercises 67–72.
35,000
30,000
C(x) = 10,000 + 30x
25,000
20,000
15,000
R(x) = 50x
10,000
5000
100 200 300 400
500 600 700
Radios Produced and Sold
67. How many radios must be produced and sold for the company
to break even?
68. More than how many radios must be produced and sold for
the company to have a profit?
69. Use the formulas shown in the voice balloons to find
R(200) – C(200). Describe what this means for the company.
70. Use the formulas shown in the voice balloons to find
R(300) – C(300). Describe what this means for the company.
71. a. Use the formulas shown in the voice balloons to write the
company's profit function, P, from producing and selling
x radios.
b. Find the company's profit if 10,000 radios are produced
and sold.
72. a. Use the formulas shown in the voice balloons to write the
company's profit function,…
In Exercises 87–88, use the graph of f(x) = |4 – x| to solve each
equation or inequality.
y
flx) = |4 – x|
y = 53-
y = 1
$ 9 10
87. 14 - x| = 1
88. 14 - x| < 5
Chapter 2 Solutions
College Algebra: Graphs and Models (6th Edition)
Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Determine the intervals on which the function is...Ch. 2.1 - Prob. 7ECh. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Detemine the domain and the range of each of the...
Ch. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Detemine the domain and the range of each of the...Ch. 2.1 - Using the graph, determine any relative maxima or...Ch. 2.1 - Using the graph, determine any relative maxima or...Ch. 2.1 - Using the graph, determine any relative maxima or...Ch. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Graph the function. Estimate the intervals on...Ch. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Graph the function. Estimate the intervals on...Ch. 2.1 - Graph the function using the given viewing window....Ch. 2.1 - Graph the function using the given viewing window....Ch. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Lumberyard. Ricks lumberyard has 480 yd of fencing...Ch. 2.1 - Triangular Flag. A seamstress is designing a...Ch. 2.1 - Blimp Distance. The Goodyear Blimp can be seen...Ch. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Carpet Area. A carpet installer uses 46 ft of...Ch. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 42ECh. 2.1 - Prob. 43ECh. 2.1 - Office File. Designs Unlimited plans to produce a...Ch. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Graph each of the following functions. Check your...Ch. 2.1 - Prob. 52ECh. 2.1 - Prob. 53ECh. 2.1 - Prob. 54ECh. 2.1 - Prob. 55ECh. 2.1 - Prob. 56ECh. 2.1 - Prob. 57ECh. 2.1 - Prob. 58ECh. 2.1 - Graph each of the following functions. Check your...Ch. 2.1 - Graph each of the following functions. Check your...Ch. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.1 - Prob. 63ECh. 2.1 - Prob. 64ECh. 2.1 - Prob. 65ECh. 2.1 - Prob. 66ECh. 2.1 - Prob. 67ECh. 2.1 - Prob. 68ECh. 2.1 - Find the domain and the range of each of the...Ch. 2.1 - Prob. 70ECh. 2.1 - Prob. 71ECh. 2.1 - Prob. 72ECh. 2.1 - Prob. 73ECh. 2.1 - Prob. 74ECh. 2.1 - Prob. 75ECh. 2.1 - Prob. 76ECh. 2.1 - Prob. 77ECh. 2.1 - Prob. 78ECh. 2.1 - Prob. 79ECh. 2.1 - Prob. 80ECh. 2.1 - Prob. 81ECh. 2.1 - Prob. 82ECh. 2.1 - Prob. 83ECh. 2.1 - Prob. 84ECh. 2.1 - Prob. 85ECh. 2.1 - Minimizing Power Line Costs. A power line is...Ch. 2.1 - Volume of an Inscribed Cylinder. A right circular...Ch. 2.2 - Prob. 1ECh. 2.2 - Given that f(x) = x2 3 and g(x) = 2x + 1, find...Ch. 2.2 - Given that f(x) = x2 3 and g(x) = 2x + 1, find...Ch. 2.2 - Given that f(x) = x2 3 and g(x) = 2x + 1, find...Ch. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Given that h(x) = x + 4 and g(x)=x1, find each of...Ch. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 19ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 21ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 23ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 25ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 27ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 29ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 31ECh. 2.2 - For each pair of functions in Exercises 1734: a)...Ch. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 3540, consider the functions F and G...Ch. 2.2 - In Exercises 4146, consider the functions F and G...Ch. 2.2 - Prob. 42ECh. 2.2 - In Exercises 4146, consider the functions F and G...Ch. 2.2 - In Exercises 4146, consider the functions F and G...Ch. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Total Cost, Revenue, and Profit. Given that R(x) =...Ch. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 50ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 58ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 64ECh. 2.2 - Prob. 65ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - For each function f, construct and simplify the...Ch. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 2ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 5ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Given that f(x)=3x+1, g(x)=x22x6, and h(x)=x3,...Ch. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 26ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 28ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Find (fg)(x) and (gf)(x) and the domain of each....Ch. 2.3 - Prob. 38ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 44ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 46ECh. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Find f(x) and g(x) such that h(x) = (f g)(x)....Ch. 2.3 - Prob. 50ECh. 2.3 - Ripple Spread. A stone is thrown into a pond,...Ch. 2.3 - The surface area S of a right circular cylinder is...Ch. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Consider the following linear equations. Without...Ch. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.3 - Prob. 62ECh. 2.3 - Prob. 63ECh. 2.3 - Prob. 64ECh. 2.4 - Determine visually whether the graph is symmetric...Ch. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Determine visually whether the graph is symmetric...Ch. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Determine visually whether the function is even,...Ch. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Determine algebraically whether the function is...Ch. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Graph: f(x)={x2forx1,3,for1x2,x,forx2.Ch. 2.4 - Peace Corps Volunteers. Since 1961, there has been...Ch. 2.4 - Determine whether the function is even, odd, or...Ch. 2.4 - Determine whether the function is even, odd. or...Ch. 2.4 - Determine whether the graph is symmetric with...Ch. 2.4 - Determine whether the graph is symmetric with...Ch. 2.4 - Show that if f is any function, then the function...Ch. 2.4 - Show that if f is any function, then the function...Ch. 2.4 - Consider the functions E and O of Exercises 55 and...Ch. 2.4 - Determine whether the statement is true or false....Ch. 2.4 - Prob. 59ECh. 2.4 - Prob. 60ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 4ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Describe how the graph of the function can be...Ch. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Prob. 55ECh. 2.5 - Prob. 56ECh. 2.5 - Prob. 57ECh. 2.5 - Prob. 58ECh. 2.5 - Prob. 59ECh. 2.5 - Prob. 60ECh. 2.5 - Prob. 61ECh. 2.5 - Prob. 62ECh. 2.5 - Prob. 63ECh. 2.5 - Prob. 64ECh. 2.5 - Prob. 65ECh. 2.5 - A graph of y=f(x) follows. No formula for f is...Ch. 2.5 - Prob. 67ECh. 2.5 - Prob. 68ECh. 2.5 - Prob. 69ECh. 2.5 - Prob. 70ECh. 2.5 - Prob. 71ECh. 2.5 - Prob. 72ECh. 2.5 - Prob. 73ECh. 2.5 - Prob. 74ECh. 2.5 - Prob. 75ECh. 2.5 - Prob. 76ECh. 2.5 - Prob. 77ECh. 2.5 - Prob. 78ECh. 2.5 - Prob. 79ECh. 2.5 - Prob. 80ECh. 2.5 - Prob. 81ECh. 2.5 - Prob. 82ECh. 2.5 - Prob. 83ECh. 2.5 - Prob. 84ECh. 2.5 - Prob. 85ECh. 2.5 - Prob. 86ECh. 2.5 - Prob. 87ECh. 2.5 - Prob. 88ECh. 2.5 - Prob. 89ECh. 2.5 - Prob. 90ECh. 2.5 - Prob. 91ECh. 2.5 - Prob. 92ECh. 2.5 - Prob. 93ECh. 2.5 - Prob. 94ECh. 2.5 - Graph each of the following using a graphing...Ch. 2.5 - Prob. 96ECh. 2.5 - Prob. 97ECh. 2.5 - Prob. 98ECh. 2.6 - Find the variation constant and an equation of...Ch. 2.6 - Find the variation constant and an equation of...Ch. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Prob. 11ECh. 2.6 - Prob. 12ECh. 2.6 - Prob. 13ECh. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - House of Representatives. The number of...Ch. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Musical Pitch. The pitch P of a musical tone...Ch. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 2.6 - Prob. 28ECh. 2.6 - Prob. 29ECh. 2.6 - Prob. 30ECh. 2.6 - Prob. 31ECh. 2.6 - Prob. 32ECh. 2.6 - Prob. 33ECh. 2.6 - Prob. 34ECh. 2.6 - Prob. 35ECh. 2.6 - Prob. 36ECh. 2.6 - Prob. 37ECh. 2.6 - Prob. 38ECh. 2.6 - Prob. 39ECh. 2.6 - Prob. 40ECh. 2.6 - In each of Exercises 4145, fill in the blank with...Ch. 2.6 - Prob. 42ECh. 2.6 - Prob. 43ECh. 2.6 - Prob. 44ECh. 2.6 - Prob. 45ECh. 2.6 - Prob. 46ECh. 2.6 - Prob. 47ECh. 2.6 - Prob. 48ECh. 2.6 - Prob. 49ECh. 2 - Determine whether the statement is true or false....Ch. 2 - Determine whether the statement is true or false....Ch. 2 - Determine whether the statement is true or false....Ch. 2 - Prob. 4MCCh. 2 - Prob. 5MCCh. 2 - Determine the domain and the range of the function...Ch. 2 - Prob. 7MCCh. 2 - For the function defined as...Ch. 2 - Prob. 9MCCh. 2 - Prob. 10MCCh. 2 - Given that f(x) = 3x 1 and g(x) = x2 + 4, find...Ch. 2 - Prob. 12MCCh. 2 - Prob. 13MCCh. 2 - Prob. 14MCCh. 2 - For each pair of functions in Exercises 14 and 15:...Ch. 2 - Prob. 16MCCh. 2 - For each function f in Exercises 16 and 17,...Ch. 2 - Prob. 18MCCh. 2 - Given that f(x) = 5x 4, g(x) = x3 + 1, and h(x) =...Ch. 2 - Prob. 20MCCh. 2 - Prob. 21MCCh. 2 - Prob. 22MCCh. 2 - Find (f g) (x) and (g f) (x) and the domain of...Ch. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Prob. 73RECh. 2 - Prob. 74RECh. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - Prob. 77RECh. 2 - Prob. 78RECh. 2 - The graph of the function f is shown below. The...Ch. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 - Prob. 84RECh. 2 - Prob. 85RECh. 2 - Prob. 86RECh. 2 - Prob. 87RECh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 5TCh. 2 - Prob. 6TCh. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - Prob. 11TCh. 2 - Prob. 12TCh. 2 - Prob. 13TCh. 2 - Prob. 14TCh. 2 - Prob. 15TCh. 2 - Prob. 16TCh. 2 - Prob. 17TCh. 2 - Prob. 18TCh. 2 - Prob. 19TCh. 2 - Prob. 20TCh. 2 - Prob. 21TCh. 2 - Prob. 22TCh. 2 - Prob. 23TCh. 2 - Prob. 24TCh. 2 - Prob. 25TCh. 2 - Prob. 26TCh. 2 - Prob. 27TCh. 2 - Prob. 28TCh. 2 - Prob. 29TCh. 2 - Prob. 30TCh. 2 - Prob. 31TCh. 2 - Prob. 32TCh. 2 - Prob. 33TCh. 2 - Prob. 34TCh. 2 - Prob. 35TCh. 2 - Prob. 36TCh. 2 - Prob. 37TCh. 2 - Prob. 38TCh. 2 - Prob. 39TCh. 2 - If (3, 1) is a point on the graph of y = f(x),...
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- World Military Expenditure The following chart shows total military and arms trade expenditure from 2011–2020 (t = 1 represents 2011). †A bar graph titled "World military expenditure" has a horizontal t-axis labeled "Year since 2010" and a vertical axis labeled "$ (billions)". The bar graph has 10 bars. Each bar is associated with a label and an approximate value as listed below. 1: 1,800 billion dollars 2: 1,775 billion dollars 3: 1,750 billion dollars 4: 1,730 billion dollars 5: 1,760 billion dollars 6: 1,760 billion dollars 7: 1,850 billion dollars 8: 1,900 billion dollars 9: 1,950 billion dollars 10: 1,980 billion dollars (a) If you want to model the expenditure figures with a function of the form f(t) = at2 + bt + c, would you expect the coefficient a to be positive or negative? Why? HINT [See "Features of a Parabola" in this section.] We would expect the coefficient to be positive because the curve is concave up. We would expect the coefficient to be negative because the…arrow_forwardIn Exercises 7–12, describe the relationship between the two quantities.arrow_forwardAmerica is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?arrow_forward
- For Exercises 33–38, find the exact value of each expression without the use of a calculator. (See Example 5)arrow_forwardIn Exercises 61–64, find an equation for the level surface of the function through the given point.arrow_forwardIn Exercises 1–4, graph the function. State its domain and range.arrow_forward
- In Exercises 1–4, (a) write a formula for the function and (b) use theformula to find the indicated value of the function.1. the area A of a circle as a function of its diameter d; the area of acircle of diameter 4 in.2. the height h of an equilateral triangle as a function of its side lengths; the height of an equilateral triangle of side length 3 m3. the surface area S of a cube as a function of the length of thecube’s edge e; the surface area of a cube of edge length 5 ft4. the volume V of a sphere as a function of the sphere’s radius r;the volume of a sphere of radius 3 cmarrow_forwardIn Exercises 5–8, determine whether the graph of the function is symmetricabout the y-axis, the origin, or neither.5. y = x1/5 6. y = x2/5arrow_forwardFor Exercises 9–18, graph the functions by plotting points or by using a graphing utility. Explain how the graphs are related. 9. a. f(x) = x b. g(x) = x + 2 c. h(x) = x² – 4 13. a. f(x) = |x| b. g(x) = -|x| 16. a. f(x) = |x| 1 b. g(x) = x| 14. a. f(x) = Vĩ b. g(x) = - Vĩ c. h(x) = 3|x| 10. a. f(x) = |x| b. g(x) = |x|+ 2 c. h(x) = |x| – 4 17. a. f(x) = V b. g(x) = V-x 15. a. f(x) = ? %3D b. g(x) = 11. a. f(x) = Vx b. g(x) = Vx – 2 c. h(x) = Vx + 4 18. a. f(x) = VI b. g(x) = V-x c. h(x) = 2r 12. a. f(x) = x b. g(x) = (x – 2)? c. h(x) = (x + 3)?arrow_forward
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