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.

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