45-46 Comparing Exponential and Power Functions In these exercises we use a graphing calculator to compare the rates of growth of the graphs of a power function and an exponential function. 45. (a) Compare the rates of growth of the functions f(x) = 2" and g(x) = x by drawing the graphs of both functions in the following viewing rectangles. (i) [0, 5] by [0, 20] (ii) [0, 25] by [0, 10] (iii) [0, 50] by [0, 10*] (b) Find the solutions of the equation 24 = x°, rounded to one decimal place.
45-46 Comparing Exponential and Power Functions In these exercises we use a graphing calculator to compare the rates of growth of the graphs of a power function and an exponential function. 45. (a) Compare the rates of growth of the functions f(x) = 2" and g(x) = x by drawing the graphs of both functions in the following viewing rectangles. (i) [0, 5] by [0, 20] (ii) [0, 25] by [0, 10] (iii) [0, 50] by [0, 10*] (b) Find the solutions of the equation 24 = x°, rounded to one decimal place.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.1: Exponential Functions
Problem 46E
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![45-46 Comparing Exponential and Power Functions In these
exercises we use a graphing calculator to compare the rates of
growth of the graphs of a power function and an exponential
function.
45. (a) Compare the rates of growth of the functions f(x) = 2"
and g(x) = x by drawing the graphs of both functions
in the following viewing rectangles.
(i) [0, 5] by [0, 20]
(ii) [0, 25] by [0, 10]
(iii) [0, 50] by [0, 10*]
(b) Find the solutions of the equation 24 = x°, rounded to
one decimal place.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91f8b188-dbb5-48f2-ac56-e08675faaf94%2F73a10d7c-e86e-4cec-97c3-57b3e2f88ebd%2Fi9ae9qg_processed.png&w=3840&q=75)
Transcribed Image Text:45-46 Comparing Exponential and Power Functions In these
exercises we use a graphing calculator to compare the rates of
growth of the graphs of a power function and an exponential
function.
45. (a) Compare the rates of growth of the functions f(x) = 2"
and g(x) = x by drawing the graphs of both functions
in the following viewing rectangles.
(i) [0, 5] by [0, 20]
(ii) [0, 25] by [0, 10]
(iii) [0, 50] by [0, 10*]
(b) Find the solutions of the equation 24 = x°, rounded to
one decimal place.
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