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10&10a

5.03 Exponential graphs

Interactive practice questions

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

a

Complete the table of values.

$x$x $-3$3 $-2$2 $-1$1 $0$0 $1$1 $2$2 $3$3
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Using some of these points, graph the equation $y=4^x$y=4x on the number plane.

Loading Graph...
c

Which of the options completes the statement?

As $x$x increases, the $y$y-values

increase

A

decrease

B

stay the same

C
d

Which of the options completes the statement?

As $x$x decreases, the $y$y-values

increase

A

decrease

B

stay the same

C
e

Which of the following statements is true?

The curve crosses the $x$x-axis at a very small $x$x-value that is beyond the scale of the graph shown.

A

The curve never crosses the $x$x-axis.

B

The curve crosses the $x$x-axis at exactly one point on the graph shown.

C
f

At what value of $y$y does the graph cross the $y$y-axis?

Easy
4min

Consider the function $y=5^x$y=5x.

Easy
3min

Consider the function $y=10^x$y=10x.

Easy
2min

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

Easy
2min
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Outcomes

ACMNA239

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate

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