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Given two functions, f(x)= = 2√√x+1-3 and g(x) = 2log(x + 1) − 3. A. Determine whether the following statements are true or false. Explain your reasoning for each answer, number your answers, and show work when needed 1. f(x) and g(x) have the same end behavior. 2. f(x) and g(x) both have domain restrictions. 3. The average rate of change of f(x) on the interval from x = 0 to x = 8 is 2. 4. Both f(x) and g(x) are always increasing.

Given two functions, f(x)= = 2√√x+1-3 and g(x) = 2log(x + 1) − 3. A. Determine whether the following statements are true or false. Explain your reasoning for each answer, number your answers, and show work when needed 1. f(x) and g(x) have the same end behavior. 2. f(x) and g(x) both have domain restrictions. 3. The average rate of change of f(x) on the interval from x = 0 to x = 8 is 2. 4. Both f(x) and g(x) are always increasing.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Given two functions, f(x) = 2√x+1-3 and g(x) = 2log(x + 1)-3. A. Determine whether the following statements are true or false. Explain your reasoning for each answer, number your answers, and show work when needed. 1. f(x) and g(x) have the same end behavior. 2. f(x) and g(x) both have domain restrictions. 3. The average rate of change of f(x) on the interval from x = 0 to x = 8 is 2. 4. Both f(x) and g(x) are always increasing. B. g(x) is a transformation of the parent function y = = log(x). Describe all transformations from the parent graph to the graph of g(x). Explain how you discovered each transformation.
Transcribed Image Text:Given two functions, f(x) = 2√x+1-3 and g(x) = 2log(x + 1)-3. A. Determine whether the following statements are true or false. Explain your reasoning for each answer, number your answers, and show work when needed. 1. f(x) and g(x) have the same end behavior. 2. f(x) and g(x) both have domain restrictions. 3. The average rate of change of f(x) on the interval from x = 0 to x = 8 is 2. 4. Both f(x) and g(x) are always increasing. B. g(x) is a transformation of the parent function y = = log(x). Describe all transformations from the parent graph to the graph of g(x). Explain how you discovered each transformation.
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