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CanadaON
Grade 11

Domain and range of quadratic functions

Interactive practice questions

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Loading Graph...
A parabola that opens upward on a Cartesian plane with its vertex at $\left(-2,-4\right)$(2,4). The coordinates of the vertex are not explicitly given.
a

What is the $y$y-value of the absolute minimum of the graph?

b

Hence determine the range of the function.

$y\ge\editable{}$y

c

What is the domain of this function?

All real $x$x

A

$x\ge-4$x4

B

$x\le-2$x2

C

$x>-2$x>2

D
Easy
1min

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Easy
< 1min

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Easy
< 1min

Consider the graph of the function $y=f\left(x\right)$y=f(x) and answer the following questions.

Easy
< 1min
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Outcomes

11U.A.1.3

Explain the meanings of the terms domain and range, through investigation using numeric, graphical, and algebraic representations of the functions f(x) = x, f(x) = x , f(x) = sqrt(x), and f(x) =1/x; describe the domain and range of a function appropriately and explain any restrictions on the domain and range in contexts arising from real-world applications

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