AnswersVT-GA-EOC-Algebra IReflections of Exponential Functions

Reflections of Exponential Functions Answers

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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
3

Which graph represents a reflection across the x-axis of g(x) = Three-fourths (3)x?

Question illustration
A
[Image: On a coordinate plane, an exponential function app...]
Option A
B
[Image: On a coordinate plane, an exponential function app...]
Option B
C
[Image: On a coordinate plane, an exponential function app...]
Option C
D
[Image: On a coordinate plane, an exponential function app...]
Option D
4

The function f(x) = – [image 1] [image 2] x is reflected over the y-axis to create g(x). Which points represent ordered pairs on g(x)? Check all that apply.(–7, –10.206) (–2.5, –4.474)(0, –1.773)(0.5, –0.221)(4, –0.017) (9, –0.003)

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)
5

The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x).

Answers:
g(x) = (3.5x):–2
Selection 2:–2
g(−1) =:–0.57
g(1) =:–7
6

The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x).

Answers:
g(x) = (3.5x):–2
Selection 2:–2
g(−1) =:–0.57
g(1) =:–7
7

–3.5✔ –202

A
–3.5
B
✔ –2
C
0
D
2
8

–7✔ –0.570.577

A
–7
B
✔ –0.57
C
0.57
D
7
9

✔ –7–0.570.577

A
✔ –7
B
–0.57
C
0.57
D
7
10

Consider the three functions:f(x) = [image 1] (4)x g(x) = [image 2] (4)–x h(x) = – [image 3] (4)xWhich statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply.f(x) has a domain of all real numbers.g(x) has a range of y 0.g(x) has a domain of all real numbers.h(x) has a domain of x > 0.

Question illustration
A
f(x) has a domain of all real numbers.
B
g(x) has a range of y < 0.
C
h(x) has a range of y > 0.
D
g(x) has a domain of all real numbers.
E
h(x) has a domain of x > 0.
12

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.
13

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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