AnswersLAUSD-Algebra II B Prescriptive - SummerUnit Test

Graphing Logarithmic Functions Answers

10 verified answers
1
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Which of the following is a logarithmic function?

Question illustration
y
y = 0.25x
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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What is the domain of ?

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a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers not equal to 0
a
all real numbers
3

Which is the graph of a logarithmic function?

A
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
Option A
B
On a coordinate plane, a straight line is shown.
Option B
C
On a coordinate plane, a hyperbola is shown.
Option C
D
On a coordinate plane, a parabola is shown.
Option D
4

Which function is shown in the graph below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which properties are present in a table that represents a logarithmic function in the form when ?I. The y-values are always increasing or always decreasing.II. The point (0, 1) exists in the table.III. The y-values will decrease rapidly as the x-values approach zero.IV. There will only be one x-value in the table with a y-value of zero.

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

Which of the following is the inverse of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Which of the following is a logarithmic function?

Question illustration
A
Option
Option A
B
Option
Option B
y
y = x + 3
D
Option
Option D
9

The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
x
x > –2
x
x > 0
x
x < 2
a
all real numbers
10

What are the domain and range of ?

Question illustration
d
domain: x > –6; range: y > 4
d
domain: x > –6; range: all real numbers
d
domain: x > 6; range: y > –4
d
domain: x > 6; range: all real numbers
11

Which table represents the graph of a logarithmic function in the form when ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

What are the domain and range of ?

Question illustration
A
domain: x > 0; range: all real numbers
B
domain: x < 0; range: all real numbers
C
domain: x > 5; range: y > 5
D
domain: x > 5; range: y > –5
13

Sebastian used the table and correctly identified that the data does not represent a logarithmic function. 12044506What information did Sebastian use in his deduction?

Question illustration
A
The table does not show a vertical asymptote.
B
The table shows two y-intercepts and it changes from increasing to decreasing.
C
The table shows one x-intercept and one y-intercept.
D
The table shows two x-intercepts and it changes from increasing to decreasing.
14

Which statement is true?

A
is not a logarithmic function because the base is greater than 0.
Option A
B
is not a logarithmic function because the base is a square root.
Option B
C
is not a logarithmic function because the base is equal to 1.
Option C
D
is not a logarithmic function because the base is a fraction.
Option D
15

Which statement is true?

Question illustration
A
The graph of is the graph of translated 4 units down.
Option A
B
The graph of is the graph of translated 4 units left.
Option B
C
The graph of is the graph of translated 4 units up.
Option C
D
The graph of is the graph of translated 4 units right.
Option D
16

The function is translated 1 unit right and 2 units down. Which is the graph of the translated function?

Question illustration
A
On a coordinate plane, a curve starts at (negative 1, negative 5) and curves up into quadrant 1. It approaches y = 1.
Option A
B
On a coordinate plane, a curve starts at (1, negative 4) and curves upwards. It approaches y = negative 1.
Option B
C
On a coordinate plane, a curve starts at (negative 1, negative 1) and curves up into quadrant 1. It approaches y = 5.
Option C
D
On a coordinate plane, a curve starts at (1, negative 3) and curves up into quadrant 1. It approaches y = 5.
Option D
17

Which is the graph of a logarithmic function?

A
On a coordinate plane, a hyperbola is shown.
Option A
B
On a coordinate plane, a straight line is shown.
Option B
C
On a coordinate plane, a parabola is shown.
Option C
D
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
Option D

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