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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 $y=5\cdot4^x$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

I.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.

I.F.IF.7.e

Graph exponential functions, showing intercepts and end behavior.

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