AnswersFL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Graphing Exponential Functions Answers

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1
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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)
2
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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
3

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
4

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
5

Which properties are present in a table that represents an exponential function in the form when ?I. As the x-values increase, the y-values increase.II. The point (1, 0) exists in the table.III. As the x-values increase, the y-values decrease.IV. As the x-values decrease, the y-values decrease, approaching a singular value.

Question illustration
A
I and IV
B
I and II
C
II and III
D
III only
6

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
7

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.
8

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
9

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
10

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
11

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
12

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.
13

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
14

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.

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