Quadratic Equations

NZ Level 7 (NZC) Level 2 (NCEA)

Domain and range of quadratic functions

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

Loading Graph...

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

$x\ge-4$`x`≥−4

B

$x\le-2$`x`≤−2

C

$x>-2$`x`>−2

D

All real $x$`x`

A

$x\ge-4$`x`≥−4

B

$x\le-2$`x`≤−2

C

$x>-2$`x`>−2

D

Easy

Approx a minute

Sign up to try all questions

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

Apply graphical methods in solving problems