Topics
6. Exponential & Logarithmic Functions
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United States of AmericaMA
Math III

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

F-IF.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

F-IF.8a

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. a. Use the process of factoring in a polynomial function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

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