AnswersHigh School Math 2 AExponential Growth Functions

Lesson 6.8: Reflections of Exponential Functions Answers

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

Question illustration
A
(negative 3, StartFraction 4 Over 375 EndFraction)
Option A
B
(negative 2, StartFraction 25 Over 24 EndFraction)
Option B
C
(2, StartFraction 2 Over 75 EndFraction)
Option C
D
(3, negative StartFraction 125 Over 48 EndFraction)
Option D
2
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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
3

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
4

The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown.

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers greater than or equal to 0
5

Which graph represents a reflection of f(x) = (10)x across the y-axis?

Question illustration
A
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 1).
Option A
B
On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1).
Option B
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 1).
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 1).
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

On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 4). Function g (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.5) and goes through (1, negative 4).

Question illustration
A
g(x) = (10)x
Option A
B
g(x) =
Option B
C
g(x) =
Option C
D
g(x) = (10)-x
Option D
8

On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4) and goes through (1, 2). g (x) increases from quadrant 3 into quadrant 4 and approaches y = 0. It crosses the y-axis at (0, negative 4) and goes through (1, negative 2).

Question illustration
A
g(x) = −4(2)x
B
g(x) = 4(2)−x
C
g(x) = −4
Option C
D
g(x) = 4
Option D
9

Consider the three functions below. f(x) = g(x) = h(x) = Which statement is true?

Question illustration
A
The range of h(x) is y > 0.
B
The domain of g(x) is y > 0.
C
The ranges of f(x) and h(x) are different from the range of g(x).
D
The domains of f(x) and g(x) are different from the domain of h(x).
10

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

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