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1. Use the graph of f(x) below to answer parts a-d. -2 1- -5 -4 -3 0 3 4 5 -2 -3- a) Is f(x) a polynomial function? If so, how do you know? If not, why not? (4 pts.) Sarah Nasri Hilly b) Without using technology, explain/show whether or not the equation below could be the equation for this function. 1 f(x)=(x-5)²(x+3)² 81 Amy Goyal c) Let's define g(x)=2f(x+3)-4. We know that f(3)=0 which means that (3,0) is on the graph of f(x). Where will that ordered pair end up on g(x)? Explain/show how you figured this out. Alisha Williams d) Is it possible to find the slope of this function? If so, find it. If not, explain why not.

1. Use the graph of f(x) below to answer parts a-d. -2 1- -5 -4 -3 0 3 4 5 -2 -3- a) Is f(x) a polynomial function? If so, how do you know? If not, why not? (4 pts.) Sarah Nasri Hilly b) Without using technology, explain/show whether or not the equation below could be the equation for this function. 1 f(x)=(x-5)²(x+3)² 81 Amy Goyal c) Let's define g(x)=2f(x+3)-4. We know that f(3)=0 which means that (3,0) is on the graph of f(x). Where will that ordered pair end up on g(x)? Explain/show how you figured this out. Alisha Williams d) Is it possible to find the slope of this function? If so, find it. If not, explain why not.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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1. Use the graph of f(x) below to answer parts a-d. -2 1- -5 -4 -3 0 3 4 5 -2 -3- a) Is f(x) a polynomial function? If so, how do you know? If not, why not? (4 pts.) Sarah Nasri Hilly b) Without using technology, explain/show whether or not the equation below could be the equation for this function. 1 f(x)=(x-5)²(x+3)² 81 Amy Goyal c) Let's define g(x)=2f(x+3)-4. We know that f(3)=0 which means that (3,0) is on the graph of f(x). Where will that ordered pair end up on g(x)? Explain/show how you figured this out. Alisha Williams d) Is it possible to find the slope of this function? If so, find it. If not, explain why not.
Transcribed Image Text:1. Use the graph of f(x) below to answer parts a-d. -2 1- -5 -4 -3 0 3 4 5 -2 -3- a) Is f(x) a polynomial function? If so, how do you know? If not, why not? (4 pts.) Sarah Nasri Hilly b) Without using technology, explain/show whether or not the equation below could be the equation for this function. 1 f(x)=(x-5)²(x+3)² 81 Amy Goyal c) Let's define g(x)=2f(x+3)-4. We know that f(3)=0 which means that (3,0) is on the graph of f(x). Where will that ordered pair end up on g(x)? Explain/show how you figured this out. Alisha Williams d) Is it possible to find the slope of this function? If so, find it. If not, explain why not.
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