Functions

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What Is a Function?

2

Function Tables

3

Functions Activities 1

4

Linear Functions

5

Functions Activities 2

6

Find the Function of a Graph

7

Functions Activities 3

8

What Are Quadratic Functions?

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Proportional Functions

10

Functions Activities 4

11

Inversely Proportional Functions

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Functions Activities 5

5.1)

Which of these functions are inversely proportional?

\begin{array}{l} p (x) & = \frac{1000}{x} \\ f (x) & = \frac{4 x + 1}{3} \\ g (x) & = \frac{x}{2} \\ h (x) & = \frac{2}{6 x} \end{array}

5.2)

Which of these function tables describe inversely proportional functions?

a)


$x$ -values	$y$ -values

1	700

2	350

3	$233.33$

4	175

5	140

6	$116.67$

7	100


$x$ -values	$1$	$2$	$3$	$4$	$5$	$6$	$7$

$y$ -values	$700$	$350$	$233.33$	$175$	$140$	$116.67$	$100$

b)


$x$ -values	$y$ -values

1	1200

2	600

3	400

4	320

5	240

6	200

7	150


$x$ -values	$1$	$2$	$3$	$4$	$5$	$6$	$7$

$y$ -values	$1200$	$600$	$400$	$320$	$240$	$200$	$150$

c)


$x$ -values	$y$ -values

1	10

2	20

3	40

4	80

5	160

6	320

7	640


$x$ -values	$1$	$2$	$3$	$4$	$5$	$6$	$7$

$y$ -values	$10$	$20$	$40$	$80$	$160$	$320$	$640$

d)


$x$ -values	$y$ -values

1	5

2	$2.5$

3	$1.67$

4	$1.25$

5	1

6	$0.83$

7	$0.714$


$x$ -values	$1$	$2$	$3$	$4$	$5$	$6$	$7$

$y$ -values	$5$	$2.5$	$1.67$	$1.25$	$1$	$0.83$	$0.714$

5.3)

Which of these graphs show inversely proportional functions?

Curved graph in first quadrant

(a)

Curved graph in first quadrant

(b)

Curved graph in first and second quadrant

(c)

Curved graph in first quadrant

(d)

You can find the solutions here.

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13

Functions from Text

14

Functions Activities 6

15

Functions Solutions