Introduction to Functions and Relations (HSC SSCE Mathematics Advanced): Quizzes

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Characteristics of Functions
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What does the domain of a function represent?

All allowable input values (xx-values)

What does the range of a function represent?

All possible output values (yy-values)

Why must you exclude certain values from the domain of f(x)=1x3f(x) = \frac{1}{x-3}?

Denominators cannot equal zero

For f(x)=xf(x) = \sqrt{x}, what restriction applies to the domain?

x0x \geq 0 (non-negative radicand)

What is the domain of f(x)=1xf(x) = \frac{1}{x}?

All real numbers where x0x \neq 0

What is the range of f(x)=1xf(x) = \frac{1}{x}?

All real numbers except zero

What is a zero of a function?

A point where the function equals zero

How do you find the yy-intercept of a function?

Evaluate f(0)f(0)

What are the zeroes of f(x)=x24f(x) = x^2 - 4?

x=2x = -2 and x=2x = 2

Geometrically, what do the zeroes of a function correspond to?

The xx-intercepts of the graph

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