AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVReflections of Exponential Functions

Reflections of Exponential Functions Answers

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Which is the range of the function f(x) =(9)x?

Question illustration
a
all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
2
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Which graph is the result of reflecting f(x) = (8)x across the y-axis and then across the x-axis?

Question illustration
A
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2).
Option A
B
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2).
Option B
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2).
Option C
D
On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).
Option D
3

Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis?

A
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).
Option A
B
On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5).
Option B
C
On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5).
Option C
D
On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).
Option D
4

On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. Function g (x) approaches y = 0 in quadrant 1 and increases into quadrant 2.

Question illustration
A
g(x) =
Option A
B
g(x) = (4)x
Option B
C
g(x) = (4)-x
Option C
D
g(x) = (4)–x
Option D
5

Which graph represents a reflection of f(x) = 6(0.5)x across the x-axis?

A
On a coorindate plane, an exponential function starts in quadrant 3 and increases and approaches y = 0 in quadrant 4. It crosses the y-axis at (0, 6) and goes through (1, negative 3).
Option A
B
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and crosses the y-axis at (0, 6).
Option B
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (negative 1, negative 3) and crosses the y-axis at (0, negative 6).
Option C
D
On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first qudrant. It goes through the y-axis at (0, 6) and goes through (1, 3).
Option D
6

On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 6) and goes through (1, 2). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 2) and crosses the y-axis at (0, 6).

Question illustration
A
g(x) = −6
Option A
B
g(x) = −6
Option B
C
g(x) = 6(3)x
D
g(x) = 6(3)−x
7

The function f(x) = (10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?

Question illustration
A
(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
Option A
B
(–2, 75)
C
(2, negative StartFraction 3 Over 400 StartFraction)
Option C
D
(3, –750)
8

Which is the domain of the function f(x) = ?

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
9

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

g
g(x) is the reflection of f(x) over the x-axis.
g
g(x) is the reflection of f(x) over the y-axis.
g
g(x) is the reflection of f(x) over both axes.
g
g(x) and f(x) will appear to be the same function.
10

The function g(x)=8(4x) is reflected across the x-axis to create f(x).

Question illustration
f
f(x)=8(4)x
f
f(x)=−8(4)x
f
f(x)=8
Option f
f
f(x)=−8
Option f

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