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}

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

You cannot divide by zero

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

First and third

What are asymptotes?

Lines the curve approaches but never touches

What is the first step when graphing a hyperbola?

Construct a table of values

For y=1xy = -\frac{1}{x}, in which quadrants do branches appear?

Second and fourth

What is the curve created by graphing a reciprocal function called?

A hyperbola

Which situation can be modelled using reciprocal functions?

Speed and time relationships

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

4 dollars

What defines the inverse relationship in reciprocal functions?

As xx increases, yy decreases

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