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9.07 Piecewise graphs

Interactive practice questions

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

Loading Graph...
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).

Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min
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Outcomes

ACMGM046

sketch piece-wise linear graphs and step graphs, using technology when appropriate

ACMGM047

interpret piece-wise linear and step graphs used to model practical situations; for example, the tax paid as income increases, the change in the level of water in a tank over time when water is drawn off at different intervals and for different periods of time, the charging scheme for sending parcels of different weights through the post

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