New Zealand
Level 7 - NCEA Level 2

# Characteristics and Domain and Range of Square Root Functions

## Interactive practice questions

Consider the function $y=\sqrt{x}$y=x.

a

Complete the table of values.

Round any values to two decimal places if necessary.

 $x$x $y$y $0$0 $1$1 $2$2 $3$3 $4$4 $5$5 $9$9 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

The graph of $y=\sqrt{x}$y=x is given.

Is $y=\sqrt{x}$y=x an increasing function or a decreasing function?

Increasing

A

Decreasing

B

Increasing

A

Decreasing

B
Easy
Approx 2 minutes

Consider the function $y=\sqrt{x}$y=x.

Consider the function $y=\sqrt{x}$y=x.

Consider the given graph of $y=\sqrt{x}$y=x.

How would you describe the rate of increase of the function?

### 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