Reciprocal Functions and Models (HSC SSCE Mathematics Standard): Quizzes

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Reciprocal Functions and Models
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What is the general form of a reciprocal function?

y=kxy = \frac{k}{x}

What type of curve does a reciprocal function create when graphed?

Hyperbola

Why is a reciprocal function undefined at x=0x = 0?

Cannot divide by zero

What are the asymptotes for the basic reciprocal function y=1xy = \frac{1}{x}?

x=0x = 0 and y=0y = 0

In which quadrants do the branches of y=1xy = \frac{1}{x} appear?

First and third

Why is a reciprocal function's graph called a rectangular hyperbola?

Asymptotes are at right angles

What relationship do variables show in reciprocal functions?

Inverse relationship

Which situation is best modelled by a reciprocal function?

Speed and time for fixed distance

Using C=24nC = \frac{24}{n}, what is the cost per person if 6 people share a pizza?

4 dollars

How should asymptotes be written in exam answers?

As equations: x=0x = 0 and y=0y = 0

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