Piecewise Linear Graphs (VCE SSCE General Mathematics): Quizzes

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Piecewise Linear Graphs
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What is a piecewise linear graph?

A graph using multiple linear equations

Which situation would most likely use a piecewise linear graph?

Delivery charges changing by quantity

What does the symbol \leq mean in interval notation?

Less than or equal to (value included)

In the interval (0x<3)(0 \leq x < 3), which value is NOT included?

x=3x = 3

Using C=50+40xC = 50 + 40x for (0x<3)(0 \leq x < 3), find cost for x=2.5x = 2.5 cubic metres.

150

For x=3x = 3, which equation: C=50+40xC = 50 + 40x (0x<3)(0 \leq x < 3) or C=80+30xC = 80 + 30x (3x8)(3 \leq x \leq 8)?

C=80+30xC = 80 + 30x

What is a step graph?

A piecewise graph with horizontal segments

Which situation is best modeled by a step graph?

Interest calculated yearly

On a step graph, what does a filled circle (●) indicate?

The endpoint is included in that segment

What is the first step in constructing a piecewise linear graph?

Find coordinates of endpoints

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