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HW3: Graphing Logs

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Last updated almost 4 years ago
23 questions
Note from the author:
For each function, identify the intercepts, end behaviors, and asymptotes.

For a review of log graphs, check out this video.

This looks like a long homework, but it is really only 5 problems with 4 parts each, plus 2 review questions.
For each function, identify the intercepts, end behaviors, and asymptotes.

For a review of log graphs, check out this video.

This looks like a long homework, but it is really only 5 problems with 4 parts each, plus 2 review questions.
1
1
1
f(x) = log_{3}(x)


1
Question 1
1.

What is the asymptote?

There should be an = in your answer, no spaces.

1
1
Question 3
3.

What is the x-intercept?

Use (x, 0) format, rounded to the nearest hundredth. If there is no x-intercept, type "none".

1
Question 4
4.

What is the y-intercept?

Use (0, y) format, rounded to the nearest hundredth. If there is no y-intercept, type "none".

f(x) = log_{\frac{1}{2}}(x)+3


1
Question 5
5.

What is the asymptote?

There should be an = in your answer, no spaces.

1
1
Question 7
7.

What is the x-intercept?

Use (x, 0) format, rounded to the nearest hundredth. If there is no x-intercept, type "none".

1
Question 8
8.

What is the y-intercept?

Use (0, y) format, rounded to the nearest hundredth. If there is no y-intercept, type "none".

f(x) = log_{2}(x+8)-4


1
Question 9
9.

What is the asymptote?

There should be an = in your answer, no spaces.

1
1
Question 11
11.

What is the x-intercept?

Use (x, 0) format, rounded to the nearest hundredth. If there is no x-intercept, type "none".

1
Question 12
12.

What is the y-intercept?

Use (0, y) format, rounded to the nearest hundredth. If there is no y-intercept, type "none".

f(x) = log_{\frac{1}{3}}(x-4)


1
Question 13
13.

What is the asymptote?

There should be an = in your answer, no spaces.

1
1
Question 15
15.

What is the x-intercept?

Use (x, 0) format, rounded to the nearest hundredth. If there is no x-intercept, type "none".

1
Question 16
16.

What is the y-intercept?

Use (0, y) format, rounded to the nearest hundredth. If there is no y-intercept, type "none".

f(x) = log_{5}(x-2)-1


1
Question 17
17.

What is the asymptote?

There should be an = in your answer, no spaces.

1
1
Question 19
19.

What is the x-intercept?

Use (x, 0) format, rounded to the nearest hundredth. If there is no x-intercept, type "none".

1
Question 20
20.

What is the y-intercept?

Use (0, y) format, rounded to the nearest hundredth. If there is no y-intercept, type "none".

Question 21
21.

HW2 Review

Which is the equivalent logarithmic equation to the exponetial equation below?

4^{x} = 64

Question 22
22.

Review HW2
Evaluate log_{3}(81).

Enter your answer as an integer, no spaces.

Question 23
23.

Review HW2
Evaluate log_{2}(43).

Enter your answer as a number rounded to two decimal places.

Question 2
2.

What are the end behaviors? Pick two.

Question 6
6.

What are the end behaviors? Pick two.

Question 10
10.

What are the end behaviors? Pick two.

Question 14
14.

What are the end behaviors? Pick two.

Question 18
18.

What are the end behaviors? Pick two.