HW3: Graphing Logs

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.
f(x) = log_{3}(x)


1

What is the asymptote?

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

1

What are the end behaviors? Pick two.

1

What is the x-intercept?

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

1

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

What is the asymptote?

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

1

What are the end behaviors? Pick two.

1

What is the x-intercept?

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

1

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

What is the asymptote?

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

1

What are the end behaviors? Pick two.

1

What is the x-intercept?

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

1

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

What is the asymptote?

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

1

What are the end behaviors? Pick two.

1

What is the x-intercept?

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

1

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

What is the asymptote?

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

1

What are the end behaviors? Pick two.

1

What is the x-intercept?

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

1

What is the y-intercept?

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

1

HW2 Review

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

4^{x} = 64

1

Review HW2
Evaluate log_{3}(81).

Enter your answer as an integer, no spaces.

1

Review HW2
Evaluate log_{2}(43).

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