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CanadaON
Grade 11

Graphs of square root functions

Interactive practice questions

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

a

State the $y$y value of the $y$y-intercept.

b

Complete the table of values.

$x$x $1$1 $4$4 $9$9 $16$16
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
c

Which of the following statements is correct?

As $x$x increases, $y$y increases at a constant rate.

A

As $x$x increases, $y$y increases at a decreasing rate.

B

As $x$x increases, $y$y increases at an increasing rate.

C
d

Graph the function.

Loading Graph...
Easy
2min

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

Easy
1min

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

Easy
1min

Consider the function $y=\sqrt{3x}$y=3x.

Easy
2min
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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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