Name: College Algebra
Author: Blitzer
ISBN: 9780136970514

Ch. 4 - Exponential and Logarithmic Functions

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모든 교과서

Blitzer 8th Edition

Ch. 4 - Exponential and Logarithmic Functions

Section 4.1

문제 1

In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 2^3.4

문제 3

In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 3^√5

문제 5

In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 4^-1.5

문제 7

In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. e^2.3

문제 9

In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. e^-0.95

문제 11

In Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. f(x) = 4^x

문제 13

Graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. g(x) = (3/2)^x

문제 15

Graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. h(x) = (1/2)^x

문제 17

Graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. f(x) = (0.6)^x

문제 19

In Exercises 19–24, the graph of an exponential function is given. Select the function for each graph from the following options:

$f(x) = 3^x, \quad g(x) = 3^{x-1}, \quad h(x) = 3^x - 1, \\ f(x) = -3^x, \quad G(x) = 3^{-x}, \quad H(x) = -3^{-x}.$

문제 21

The graph of an exponential function is given. Select the function for each graph from the following options:

$f(x) = 3^x, \quad g(x) = 3^{x-1}, \quad h(x) = 3^x - 1, \\ f(x) = -3^x, \quad G(x) = 3^{-x}, \quad H(x) = -3^{-x}.$

문제 23

The graph of an exponential function is given. Select the function for each graph from the following options:

$f(x) = 3^x, \quad g(x) = 3^{x-1}, \quad h(x) = 3^x - 1, \\ f(x) = -3^x, \quad G(x) = 3^{-x}, \quad H(x) = -3^{-x}.$

문제 25

Begin by graphing f(x) = 2^x. Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. g(x) = 2^x+1

문제 27

문제 29

문제 31

문제 33

문제 35

The figure shows the graph of f(x) = e^x. In Exercises 35-46, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes. Use the graphs to determine graphs. each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn g(x) = e^x-1

문제 37

문제 39

문제 41

문제 43

문제 45

문제 47

Graph functions f and g in the same rectangular coordinate system. Graph and give equations of all asymptotes. If applicable, use a graphing utility to confirm your hand-drawn graphs. f(x) = 3^x and g(x) = 3^-x

문제 49

문제 51

문제 55

Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to the nearest cent. Suppose that you have $12,000 to invest. Which investment yields the greater return over 3 years: 0.96% compounded monthly or 0.95% compounded continuously?

문제 57

Graph f and g in the same rectangular coordinate system. Then find the point of intersection of the two graphs. f(x) = 2^x, g(x) = 2^-x

문제 59

Graph y= 2^x and x = 2^y in the same rectangular coordinate system.

문제 61

Give the equation of each exponential function whose graph is shown.