Graphing Exponential Functions Answers

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Which graph represents an exponential growth function?

A
On a coordinate plane, a line rapidly decreases and then levels off.
Option A
B
On a coordinate plane, a line increases gradually.
Option B
C
On a coordinate plane, a line decreases gradually.
Option C
D
On a coordinate plane, a line is level and then curves upwards rapidly.
Option D
3

Which function has a range of y < 3?

A
y = 3 (2) Superscript x
Option A
B
y = 3 (3) Superscript x
Option B
C
y = negative (2) Superscript x Baseline + 3
Option C
D
y = (2) Superscript x Baseline minus 3
Option D
4

Which function represents a vertical stretch of an exponential function?

A
f (x) = 3 (one-half) Superscript x
Option A
B
f (x) = one-half (3) Superscript x
Option B
C
f (x) = (3) Superscript 2 x
Option C
D
f (x) = 3 Superscript (one-half x)
Option D
5

Which graph represents an exponential function?

A
On a coordinate plane, a curve decreases rapidly and then levels out.
Option A
B
On a coordinate plane, a curve decreases, changes directions, and then decreases again.
Option B
C
On a coordinate plane, 2 curves mirror each other.
Option C
D
On a coordinate plane, a line curves increases gradually.
Option D
7

Which function is graphed below?

Question illustration
A
y = one-third (3) Superscript x
Option A
B
y = 3 (one-third) Superscript x
Option B
C
y = (one-half) Superscript x Baseline + 2
Option C
D
y = (2) Superscript x Baseline minus 1
Option D
8

What are the domain and range of the function f(x) = 3x + 5?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain:; range:
Option C
D
domain: ; range:
Option D
9

Which graph represents an exponential function?

A
On a coordinate plane, a parabola is shown.
Option A
B
On a coordinate plane, 2 curves mirror each other.
Option B
C
On a coordinate plane, a line curves upwards gradually.
Option C
D
On a coordinate plane, a line increases rapidly and then levels off.
Option D
10

Which statement best describes the domain and range of f(x) = –(7)x and g(x) = 7x?

A
f(x) and g(x) have the same domain and the same range.
B
f(x) and g(x) have the same domain but different ranges.
C
f(x) and g(x) have different domains but the same range.
D
f(x) and g(x) have different domains and different ranges.
11

Which table represents an exponential function of the form when ?

Question illustration
A
mc028-3.jpg
Option A
B
mc028-4.jpg
Option B
C
mc028-5.jpg
Option C
D
mc028-6.jpg
Option D
12

Which set of ordered pairs could be generated by an exponential function?

A
(0, 0), (1, 1), (2, 8), (3, 27)
B
(0, 1), (1, 2), (2, 5), (3, 10)
C
(0, 0), (1, 3), (2, 6), (3, 9)
D
(0, 1), (1, 3), (2, 9), (3, 27)
14

Which graph represents an exponential function?

A
On a coordinate plane, a line curves upwards gradually.
Option A
B
On a coordinate plane, a curve decreases, changes directions, and then decreases again.
Option B
C
On a coordinate plane, a line is level and then curves upwards rapidly.
Option C
D
On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3.
Option D
15

What are the domain and range of ?

Question illustration
A
The domain is all real numbers. The range is all real numbers.
B
The domain is all real numbers. The range is all real numbers greater than zero.
C
The domain is all real numbers greater than zero. The range is all real numbers.
D
The domain is all real numbers greater than zero. The range is all real numbers greater than zero.
16

Which of the following describes the transformations of from the parent function ?

Question illustration
A
shift 4 units left, reflect over the x-axis, shift 2 units down
B
shift 4 units left, reflect over the y-axis, shift 2 units down
C
shift 4 units right, reflect over the x-axis, shift 2 units down
D
shift 4 units right, reflect over the y-axis, shift 2 units down
17

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?

A
p(x) and q(x) have the same domain and the same range.
B
p(x) and q(x) have the same domain but different ranges.
C
p(x) and q(x) have different domains but the same range.
D
p(x) and q(x) have different domains and different ranges.
18

Which set of ordered pairs could be generated by an exponential function?

A
, (0, 0), , (2, 1)
Option A
B
(–1, –1), (0, 0), (1, 1), (2, 8)
C
, (0, 1), (1, 2), (2, 4)
Option C
D
(–1, 1), (0, 0), (1, 1), (2, 4)

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