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CanadaON
Grade 11

State domain and range of exponentials

Interactive practice questions

The graph of $y=2^x$y=2x is displayed here.

Loading Graph...
A graph of $y=2^x$y=2x on a cartesian plane.
a

What is the $y$y-intercept of this graph?

b

Does the graph have an $x$x-intercept?

Yes

A

No

B
c

Which single option below gives us the graph's domain?

$x\ge0$x0

A

$x>0$x>0

B

All real $x$x

C

$x<0$x<0

D
d

What is the graph's range?

All real $y$y

A

$y<0$y<0

B

$y>0$y>0

C

$y\ge0$y0

D
e

Find the value of $y$y when $x=7$x=7.

f

Find the value of $x$x when $y=256$y=256.

Easy
2min

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

Easy
4min

Consider the function $y=2^{-x}$y=2x.

Easy
5min

Consider the curve $y=2\left(3^x\right)$y=2(3x).

Easy
2min
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Outcomes

11U.B.1.4

Determine, through investigation, and describe key properties relating to domain and range, intercepts, increasing/decreasing intervals, and asymptotes for exponential functions represented in a variety of ways

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