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6.01 Graphs and characteristics of exponential functions

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

III.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

III.F.IF.5

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

III.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.

III.F.IF.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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