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?

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Option
Option A
B
Option
Option B
C
Option
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
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8

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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

(5, 1)(5, 5)(11, 1)(11, 5)

A
(5, 1)
B
(5, 5)
C
(11, 1)
D
(11, 5)
10

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.
11

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

Answer:

The inverse of the logarithmic function f(x) = log7(x) is the exponential function g(x) = 7^x. For the exponential function g(x) = 7^x, the domain is all real numbers (-∞, ∞) and the range is all positive real numbers (0, ∞). Because 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) = log7(x) is all positive real numbers (x > 0) and the range is all real numbers (-∞, ∞).

12

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

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Option A
B
Option
Option B
C
Option
Option C
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15

what is the domain of f(x) = log2(x + 3) + 2?

A
x > –3
B
x > –2
C
x > 2
D
x > 3
16

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.
17

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