AnswersCA-Algebra I A – 6002Reflections of Exponential Functions

Reflections of Exponential Functions Answers

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1
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Which function represents a reflection of f(x) = (2)x over the x-axis?

Question illustration
A
g(x) = –(2)x
Option A
B
g(x) = (–2)x
Option B
C
g(x) = –x
Option C
D
g(x) = (2)–x
Option D
2
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Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?

A
h(x) = 2(0.35)x
B
h(x) = –2(0.35)x
C
h(x) = 2(0.35)–x
D
h(x) = 2(–0.35)–x
4

The function f(x) = –x is reflected over the y-axis to create g(x). Which points represent ordered pairs on g(x)? Check all that apply.

Question illustration
A
(–7, –10.206)
B
(–2.5, –4.474)
C
(0, –1.773)
D
(0.5, –0.221)
E
(4, –0.017)
F
(9, –0.003)
6

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7

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8

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25

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26

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?

A
The two functions have no points in common.
B
The two functions have the same initial value.
C
The two function have opposite output values of each other for any given input value.
D
The graph of the two functions would look exactly the same.
27

Which functions could represent a reflection over the y-axis of the given function? Check all that apply.

A
g(x) = –(4)x
Option A
B
g(x) = 0.5(4)–x
C
g(x) = 2(4)x
D
g(x) = x
Option D
E
g(x) = –x
Option E

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