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

6.01 Graphs and characteristics of exponential functions

Lesson
Practice

Interactive practice questions

What is the type of function shown in the table?

$x$x $1$1 $2$2 $3$3 $4$4 $5$5 $6$6
$f\left(x\right)$f(x) $5$5 $25$25 $125$125 $625$625 $3125$3125 $15625$15625

Exactly exponential

A

Approximately exponential

B

Not exponential

C
Easy
< 1min

What is the type of function shown in the table?

Easy
< 1min

What is the type of function shown in the table?

Easy
< 1min

Consider the expression $3^x$3x.

Easy
1min
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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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