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VCE 11 Methods 2023

4.06 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

U1.AoS1.2

qualitative interpretation of features of graphs of functions, including those of real data not explicitly represented by a rule, with approximate location of any intercepts, stationary points and points of inflection

U1.AoS1.3

graphs of power functions f(x) = x^n for n=-2, -1, 1/3, 1/2, 1,2,3,4 and transformations of these graphs to the form y=a(x+b)^n+c

U1.AoS1.11

sketch by hand graphs of power functions f(x) = x^n for n=-2, -1, 1/3, 1/2, 1,2,3,4 and simple transformations of these, and identify any vertical or horizontal asymptotes

U1.AoS1.12

draw graphs of polynomial functions of low degree, simple power functions and simple relations that are not functions

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