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CanadaON
Grade 11

Graphing square root functions (domain and range)

Interactive practice questions

Consider the function $f\left(x\right)=\sqrt{x}$f(x)=x.

a

Graph the curve.

Loading Graph...
b

What is the domain?

$x>0$x>0

A

$x\ge0$x0

B

all real numbers

C

$x\le0$x0

D
c

What is the range?

$y\le0$y0

A

$y\ge0$y0

B

all real numbers

C

$y>0$y>0

D
Easy
1min

Consider the function $f\left(x\right)=-\sqrt{x}$f(x)=x.

Easy
1min

Consider the function $f\left(x\right)=\sqrt{2x}$f(x)=2x.

Easy
1min

Consider the function $f\left(x\right)=\frac{1}{2}\sqrt{x}$f(x)=12x.

Easy
1min
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Outcomes

11U.A.1.9

Sketch graphs of y = af (k(x – d)) + c by applying one or more transformations to the graphs of f(x) = x, f(x) = x , f(x) = sqrt(x) and f(x) = 1/x, and state the domain and range of the transformed functions

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