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9.05 Graphs of exponential functions

Interactive practice questions

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

a

Complete the table of values.

$x$x $-2$2 $-1$1 $0$0 $1$1 $2$2
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Is $y=3^x$y=3x an increasing function or a decreasing function?

Increasing

A

Decreasing

B
c

How would you describe the rate of increase of $y$y?

As $x$x increases, $y$y increases at a faster and faster rate.

A

As $x$x increases, $y$y increases at a constant rate.

B

As $x$x increases, $y$y increases at a slower and slower rate.

C
Easy
3min

Consider the function $y=3^{-x}$y=3x.

Easy
3min

Consider the graph of the equation $y=4^x$y=4x.

Easy
1min

Consider the function $y=9^x$y=9x.

Easy
< 1min
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