Topics
6. Exponential & Logarithmic Functions
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United States of AmericaPA
High School Core Standards - Algebra II Assessment Anchors

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

CC.2.2.HS.C.2

Graph and analyze functions and use their properties to make connections between the different representations.

A2.1.2.1.4

Simplify or evaluate expressions involving logarithms and exponents e.g., log_2 (8) = 3 or log_4 (2) = 1⁄2).

A2.2.2.1.2

Create, interpret, and/or use the equation, graph, or table of an exponential or logarithmic function (including common and natural logarithms).

A2.2.2.1.3

Determine, use, and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential, or logarithmic function.

A2.2.2.1.4

Translate a polynomial, exponential, or logarithmic function from one representation of a function to another (graph, table, and equation).

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