Functions

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What Is a Function?

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Function Tables

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Functions Activities 1

4

Linear Functions

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Functions Activities 2

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Find the Function of a Graph

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Functions Activities 3

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What Are Quadratic Functions?

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Proportional Functions

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Functions Activities 4

4.1)

Which of these functions are proportional?

\begin{array}{l} y & = x + 90 \\ f (x) & = 0.01 x \\ g (x) & = x^{2} \\ h (x) & = 10 000 x \end{array}

4.2)

Which of these function tables describe proportional functions?

a)


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$5$	$6$	$7$	$8$	$9$	$10$	$11$

b)


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$0$	$4$	$8$	$12$	$16$	$20$	$24$

c)


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$3$	$6$	$9$	$12$	$15$	$18$	$21$

d)


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$- 4$	$6$	$16$	$26$	$36$	$46$	$56$

4.3)

Which of these graphs show a proportional function?

A line going through (0,0) and (1,5)

(a)

A line going through (0,0.5) and (2,6.5)

(b)

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11

Inversely Proportional Functions

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Functions Activities 5

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Functions from Text

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Functions Activities 6

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Functions Solutions