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HW3: Graphing Logs
By Katherine Rorabaugh
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Last updated about 4 years ago
23 questions
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Instructions
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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.
f(x) = log_{3}(x)
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Question 1
1.
What is the asymptote?
There should be an = in your answer, no spaces.
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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".
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f(x) = log_{\frac{1}{2}}(x)+3
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Question 5
5.
What is the asymptote?
There should be an = in your answer, no spaces.
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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".
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f(x) = log_{2}(x+8)-4
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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
f(x) = log_{\frac{1}{3}}(x-4)
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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
f(x) = log_{5}(x-2)-1
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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 21
21.
HW2 Review
Which is the equivalent logarithmic equation to the exponetial equation below?
4^{x} = 64
log_{x}(64)=4
log_{4}(x) = 64
log_{x}(4)=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.
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".
Question 6
6.
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".
Question 10
10.
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".
Question 14
14.
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".
Question 18
18.
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".
log_{4}(64) = x
What are the end behaviors? Pick two.
x\rightarrow \infty, f(x)\rightarrow -\infty
x \rightarrow \infty, f(x) \rightarrow \infty
x\rightarrow 0, f(x)\rightarrow 0
x\rightarrow \infty, f(x)\rightarrow 0
x\rightarrow 0, f(x)\rightarrow \infty
x\rightarrow 0, f(x)\rightarrow -\infty
What are the end behaviors? Pick two.
x\rightarrow \infty, f(x)\rightarrow \infty
x\rightarrow 0, f(x)\rightarrow -\infty
x\rightarrow \infty, f(x)\rightarrow 0
x\rightarrow 0, f(x)\rightarrow 0
x\rightarrow 0, f(x)\rightarrow \infty
x\rightarrow \infty, f(x)\rightarrow -\infty
What are the end behaviors? Pick two.
x\rightarrow \infty, f(x)\rightarrow -8
x\rightarrow -8, f(x)\rightarrow -\infty
x\rightarrow \infty, f(x)\rightarrow -\infty
x\rightarrow -8, f(x)\rightarrow -8
x\rightarrow -8, f(x)\rightarrow \infty
x\rightarrow \infty, f(x)\rightarrow \infty
What are the end behaviors? Pick two.
x\rightarrow 4, f(x)\rightarrow -\infty
x\rightarrow 4, f(x)\rightarrow \infty
x\rightarrow 4, f(x)\rightarrow 4
x\rightarrow \infty, f(x)\rightarrow 4
x\rightarrow \infty, f(x)\rightarrow \infty
x\rightarrow \infty, f(x)\rightarrow -\infty
What are the end behaviors? Pick two.
x\rightarrow 2, f(x)\rightarrow -\infty
x\rightarrow 2, f(x)\rightarrow 2
x\rightarrow 2, f(x)\rightarrow \infty
x\rightarrow \infty, f(x)\rightarrow 2
x\rightarrow \infty, f(x)\rightarrow -\infty
x\rightarrow \infty, f(x)\rightarrow \infty