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New Zealand
Level 7 - NCEA Level 2

Piecewise Graphs

Interactive practice questions

Consider the graph of $y=f\left(x\right)$y=f(x).

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A function is plotted on a cartesian plane. A straight line sloping downwards from the left side of the graph ends at $\left(3,5\right)$(3,5). A straight line sloping upwards starts at $\left(3,5\right)$(3,5) and extends to the right. The coordinate is not explicitly labeled or mentioned on this graph.
a

What is the function value at $x=3$x=3?

$5$5

A

Undefined

B

$3$3

C
b

Is the graph continuous at $x=3$x=3?

Yes

A

No

B
Easy
< 1min

Consider the graph of $y=f\left(x\right)$y=f(x), which is defined for all real $x$x.

Easy
< 1min

Consider the graph of $y=f\left(x\right)$y=f(x).

Easy
< 1min

Consider the graph of $y=f\left(x\right)$y=f(x).

Which of the following statements is true?

Easy
< 1min
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Outcomes

M7-2

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

91257

Apply graphical methods in solving problems

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