Solving Exponential Equations by Rewriting the Base Answers

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

Question illustration
A
reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up
B
reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up
C
reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up
D
reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up
2
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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)
3

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
4

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
5

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)
6

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
7

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
8

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
9

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.
10

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

A
(1, 1), , ,
Option A
B
(1, 1), , ,
Option B
C
, , ,
Option C
D
, , ,
Option D

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