AnswersFL-1200330-Algebra 2 CRGraphing Logarithmic Functions

Graphing Logarithmic Functions Answers

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1
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Which is the graph of a logarithmic function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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What is the domain of the function? What is the range of the function?

Answers:
Selection 1:x > 0
Selection 2:all real numbers
3

What is the range of the function?

Answer not available
4

Which is the graph of f(x) = log3x?

A
On a coordinate plane, a logarithmic function approaches the y-axis in quadrant 1 and then approaches y = negative 1, in quadrant 4. It goes through (1, 0) and (3, negative 0.5).
Option A
B
On a coordinate plane, a logarithmic function approaches the y-axis in quadrant 4 and then increases into quadrant 1 and approaches y = 2. It goes through (1, 0) and (3, 1).
Option B
C
On a coordinate plane, a logarithmic function approaches x = 2 in quadrant 4 and then increases into quadrant 1 and approaches y = 1. It goes through (3, 0).
Option C
5

Which function is shown in the graph?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
6

What is the inverse of the logarithmic function f(x) = log9x?

A
f –1(x) = x9
C
f –1(x) = –log9x
B
f –1(x) = 9x
D
f –1(x) =
Option D
7

The sound intensity of rustling leaves is 100 times the reference intensity. Use your graph to determine the sound intensity of rustling leaves in decibels. decibels

Answer:

20

8

Question text not available

A
a translation 3 units right and 2 units up
B
a translation 3 units left and 2 units up
C
a translation 3 units up and 2 units right
D
a translation 3 units up and 2 units left
9

The graph shows a logarithmic function f. What do f and the function g(x) = log6x have in common? Select all that apply.

A
Both graphs increase on their domain.
B
The graphs of both functions have the same x-intercept.
C
Neither graph has a y-intercept.
D
Neither graph has a vertical asymptote.
E
Both graphs have a horizontal asymptote.
10

What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.

Answer:

The logarithmic function f(x) = log7(x) has a domain of x > 0 and a range of all real numbers. This can be justified by its inverse function, g(x) = 7^x. The domain of an exponential function like 7^x is all real numbers, and its range is y > 0. Since the domain of a function is the range of its inverse and the range of a function is the domain of its inverse, the domain of f(x) is x > 0 and the range of f(x) is all real numbers.

11

Which table represents the graph of a logarithmic function with both an x-and y-intercept?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
12

How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?

A
Switch the x- and y-coordinates.
B
Use the opposites of the x- and y-coordinates.
C
Use the reciprocals of the x- and y-coordinates.
13

times the reference intensity.

Answer:

1000

14

Question text not available

A
(5, 1)
B
(5, 5)
C
(11, 1)
D
(11, 5)
15

Check each item below that you included in your response.

A
The domain of f is x > 0.
B
The range of f is all real numbers.
C
The domain of the inverse function is all real numbers.
D
The range of the inverse function is y > 0.
E
The domain of f is the same as the range of the inverse function.
F
The range of f is the same as the domain of the inverse function.
16

Which points lie on the graph of f(x) = log9x? Check all that apply.

A
mr002-1.jpg
Option A
B
(0, 1)
C
mr002-2.jpg
Option C
D
(3, 243)
E
(9, 1)
F
(81, 2)
17

Question text not available

A
x > –3
B
x > –2
C
x > 2
D
x > 3

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