AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Graphing Exponential Functions

Graphing Exponential Functions Answers

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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
2
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Which of the following exponential equations could be represented by the table below?3210123452.00142.00412.01232.0372.1112.3333511

Question illustration
A
mc027-6.jpg
Option A
B
mc027-7.jpg
Option B
C
mc027-8.jpg
Option C
D
mc027-9.jpg
Option D
3

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
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 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
6

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 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
8

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.
9

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
10

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
11

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)
12

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
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 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)
15

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
16

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
17

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.
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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