NZ Level 7 (NZC) Level 2 (NCEA)
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Graphing Square Root Functions

Interactive practice questions

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

a

Graph the curve.

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b

What is the domain?

$x>0$x>0

A

$x\ge0$x0

B

all real numbers

C

$x\le0$x0

D

$x>0$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

$y\le0$y0

A

$y\ge0$y0

B

all real numbers

C

$y>0$y>0

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

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

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

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems

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