5. How do we obtaln a reflection over the x-axis?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please answer 5 and 6
1. If a function is multiplied by a coefficient, what will happen to the graph of the function?
2. What does multiplying x by a number greater than one create?
3. What happens when we multiply x by a number between O and 1?
4. In order to obtain a reflection over the y axis what do we have to do to x?
5. How do we obtain a reflection over the x-axis?
6. Write a function that will create a horizontal compression of the following: f(x) = a² +3
7. Write a function that will horizontally stretch the following: f(x) = x-6
8. Rewrite the function f(x) = -VI to get a reflection over the x-axis.
9. Rewrite the function f(x)= VI to get a reflection over the y-axis.
Transcribed Image Text:1. If a function is multiplied by a coefficient, what will happen to the graph of the function? 2. What does multiplying x by a number greater than one create? 3. What happens when we multiply x by a number between O and 1? 4. In order to obtain a reflection over the y axis what do we have to do to x? 5. How do we obtain a reflection over the x-axis? 6. Write a function that will create a horizontal compression of the following: f(x) = a² +3 7. Write a function that will horizontally stretch the following: f(x) = x-6 8. Rewrite the function f(x) = -VI to get a reflection over the x-axis. 9. Rewrite the function f(x)= VI to get a reflection over the y-axis.
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