Topics
6. Exponential & Logarithmic Functions
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Algebra 2

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: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. ^Emphasize selection of appropriate models

F.IF.5^

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. ^Emphasize selection of appropriate models

F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.7e^

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. ^Focus on using key features to guide selection of appropriate type of model function

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