work. 4. Consider the parent function f (x)=x. 10 a. Sketch the graph of f(x)=|x| on the blank coordinate system. b. Reflecting the graph of f(x)=x across the y-axis 2 would produce graph. -10 -8 -2 2. 10 -6 "the same" or "a different"? -2 c. Evaluate: f(4) = _, f(-4)=_, f(0) = d. The function g(x)=|-x represents the graph of -6 f(x)= x reflected across the y-axis. Evaluate: g(4) =_, g(-4) =_, g(0) = e. Are you convinced that the functions f(x)=|x| and g(x)=|-x are equivalent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 44E
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I need help with 4a, 4b, 4c, 4d, and 4e
work.
4. Consider the parent function f (x)=x.
a. Sketch the graph of f(x)=|x| on the blank coordinate
system.
b. Reflecting the graph of f(x)= x across the y-axis
would produce
6.
10
graph.
-10
-8
-6
-2
"the same" or "a different"?
-2
c. Evaluate: f(4) =
f(-4) =
, f(0)=
-6
d. The function g(x)=|-x represents the graph of
-8-
f(x)=|x reflected across the y-axis. Evaluate:
g(4) =__, g(-4)=
_, g(0) =
e. Are you convinced that the functions f(x)=|x| and g(x)=|-x are equivalent?
Transcribed Image Text:work. 4. Consider the parent function f (x)=x. a. Sketch the graph of f(x)=|x| on the blank coordinate system. b. Reflecting the graph of f(x)= x across the y-axis would produce 6. 10 graph. -10 -8 -6 -2 "the same" or "a different"? -2 c. Evaluate: f(4) = f(-4) = , f(0)= -6 d. The function g(x)=|-x represents the graph of -8- f(x)=|x reflected across the y-axis. Evaluate: g(4) =__, g(-4)= _, g(0) = e. Are you convinced that the functions f(x)=|x| and g(x)=|-x are equivalent?
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