Topics
6. Exponential & Logarithmic Functions
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United States of AmericaOH
High School

6.04 Logarithmic functions

Lesson
Practice

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
Easy
1min

Consider the two graphs sketched below.

Easy
< 1min

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

Easy
4min

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

Easy
2min
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Outcomes

F.IF.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 the following: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.5c

Emphasize the selection of a type of function for a model based on behavior of data and context.

F.IF.7f

Graph exponential functions, indicating intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

F.IF.7h

Graph logarithmic functions, indicating intercepts and end behavior.

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