True or False. Justify your answer. 8.The graph of y f(-x) is a reflection of the graph of y = f(x) in the x-axis.9.The graph of f(x) = x +6 and f(x) = |- x| + 6 are identical.10. A function that represents the graph of f(x) = x shifted three units to the right is f(g(x)), where2g(x) = x + 3.-111. If f(x) is an even function, then f exists.12. If the inverse function of f exists, and the graph of f has a y-intercept, then the y-intercept of f is anx-intercept of f 1.13. A linear regression model with a positive correlation will have a slope that is greater than 0.14. When the correlation coefficient for a linear regression model is close to -1, the regression line is a poor fitfor the data.15. There exists no function f such that f = f16. If the graph of the parent function f(x) = x' is moved six units to the right, moved three units upward, andreflected through the x-axis, then the point (-1, 28) will lie on the graph of the transformation.

Answered: 8. The graph of y = f(- x) is a…

Math

Calculus

8. The graph of y = f(- x) is a reflection of the graph of y = f(x) in the x-axis.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 36E

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Question

True or False. Justify your answer.

8.
The graph of y f(-x) is a reflection of the graph of y = f(x) in the x-axis.
9.
The graph of f(x) = x +6 and f(x) = |- x| + 6 are identical.
10. A function that represents the graph of f(x) = x shifted three units to the right is f(g(x)), where
2
g(x) = x + 3.
-1
11. If f(x) is an even function, then f exists.
12. If the inverse function of f exists, and the graph of f has a y-intercept, then the y-intercept of f is an
x-intercept of f 1.
13. A linear regression model with a positive correlation will have a slope that is greater than 0.
14. When the correlation coefficient for a linear regression model is close to -1, the regression line is a poor fit
for the data.
15. There exists no function f such that f = f
16. If the graph of the parent function f(x) = x' is moved six units to the right, moved three units upward, and
reflected through the x-axis, then the point (-1, 28) will lie on the graph of the transformation.

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