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

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

Loading Graph...

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

Increasing

A

Decreasing

B
Easy
2min

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

Easy
< 1min

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

Easy
1min

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

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

Easy
< 1min
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Outcomes

ACMMM014

recognise features of the graphs of y=x^n for n∈N, n=−1 and n=½, including shape, and behaviour as x→∞ and x→−∞

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