AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Graphing Exponential Functions

Solving Exponential Equations by Rewriting the Base Answers

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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
2
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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
3

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
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
6

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
7

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
8

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.
9

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)
10

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)
11

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.
12

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
13

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

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
15

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.
16

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
17

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.
18

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
19

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
20

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

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