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5.01 Graphs and characteristics of exponential functions

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 $y=-2^x$y=2x.

Easy
2min

Consider the equation $y=5\times4^x$y=5×4x.

Find the value of $y$y when:

Easy
1min

A function $f\left(x\right)$f(x) is defined by $f\left(x\right)=\left(\frac{4}{3}\right)^x$f(x)=(43)x.

Easy
2min
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Outcomes

NC.M1.F-IF.7

Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.

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