Topics
7. Inverse Functions and Logarithms
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United States of America
Grades 9-12

7.05 Logarithmic functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the function $y=\log_2x$y=log2​x.

Which two of the following graph elements does the graph of $y=\log_2x$y=log2​x feature?

$y$y-intercept

A

a vertical asymptote

B

a horizontal asymptote

C

$x$x-intercept

D

a lower limiting value

E

an upper limiting value

F
Medium
1min

Consider the two graphs sketched below.

Medium
< 1min

We are going to sketch the graph of $y=\log_2x$y=log2​x.

Medium
4min

Consider the function $y=\log_2x$y=log2​x shown in the graph below.

Medium
2min
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Outcomes

F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.LE.A.4

For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

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