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Alg462 Review Logarithmic Functions

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Last updated almost 5 years ago
20 questions
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Question 1
1.

Simplify the expression:

Show your work in the "show your work" box below.

Question 2
2.

Simplify the expression:

Show your work in the "show your work" box below.

Question 3
3.

Simplify the expression:

Show your work in the "show your work" box below.

Question 4
4.

Graph the function:

Question 5
5.

State the range from the function:

Question 6
6.

Describe the transformations from the parent function to the function g(x).

Question 7
7.

Write the new function, g(x), from the parent function:
after the given transformations:
-Reflect over the x-axis
-Vertical stretch by a factor of 4
-Shifted left 6 units

Question 8
8.

Rewrite the equation in exponential form.

Question 9
9.

Rewrite the equation in exponential form.

Question 10
10.

Rewrite the exponential form into logarithmic form.

Question 11
11.

Rewrite the exponential form into logarithmic form.

Question 12
12.

Evaluate the logartihm without using a calculator:

Question 13
13.

Evaluate the logartihm without using a calculator:

Question 14
14.

Evaluate the natural log without using a calculator:

Question 15
15.

Graph the function:

Question 16
16.

Describe, in the show your work box, the transformations in words from the parent function.

Question 17
17.

Write the function, g(x), that has been transformed from the parent function:

with a vertical stretch by a factor of 6 and shifted down 3 units.

Question 18
18.

What is the domain for the function:

Question 19
19.

What is the x-inercept for the function:
Write your answer as an ordered pair.

Question 20
20.

What is the vertical asymptote for the function: