Topics
7. Exponential & logarithmic functions
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Algebra 2

7.04 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

A2.5.A

Determine the effects on the key attributes on the graphs of f(x) = b^x and f(x) = log_b (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for specific positive and negative real values of a, c, and d

A2.5.E

Determine the reasonableness of a solution to a logarithmic equation

A2.7.I

Write the domain and range of a function in interval notation, inequalities, and set notation

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