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5.09 Graphs of exponential functions

Adaptive
Worksheet

Interactive practice questions

Fill in the missing coordinate in each ordered pair so that the pair is a solution to the equation $y=5^x$y=5x.

a

$\left(3,\editable{}\right)$(3,)

b

$\left(\editable{},5\right)$(,5)

c

$\left(-1,\editable{}\right)$(1,)

d

$\left(\editable{},\frac{1}{25}\right)$(,125)

Easy
2min

Fill in the missing coordinate in each ordered pair so that the pair is a solution of $y=3^{-x}$y=3x.

Easy
2min

Consider the equation $y=3^x$y=3x.

Medium
3min

Consider the equation $y=2^x$y=2x.

Medium
4min
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Outcomes

A.F.2

The student will investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model quadratic and exponential relationships.

A.F.2e

Given an equation or graph of an exponential function in the form y = ab^(x) (where b is limited to a natural number), interpret key characteristics, including y-intercepts and domain and range; interpret key characteristics as related to contextual situations, where applicable.

A.F.2f

Graph an exponential function, f(x), in two variables using a variety of strategies, including transformations f(x) + k and kf(x), where k is limited to rational values.

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