Is it a function?

Is it a function?

Presentation

•

Mathematics

•

8th - 10th Grade

•

Medium

Created by

Dana Little

Used 5+ times

FREE Resource

7 Slides • 32 Questions

1

DOMAIN & RANGE OF CONTINUOUS GRAPHS

For DOMAIN, scan your pencil from left to right along the x-axis.

For RANGE, scan your pencil from top to bottom along the y-axis.

2

The domain is ALL REAL NUMBERS because the function will continue on both directions (left and right) forever.

The range is y ≥ −2 because the y-values cannot be less than −2.

Example:

3

Try It!

Find the domain and range of each relation.

4

Multiple Choice

Question image

Find the domain.

1

$x\ge-3$

2

$x\le3$

3

$-3\le x\le3$

5

Multiple Choice

Question image

Find the range.

1

$y\ge-3$

2

$y\le3$

3

$-3\le y\le3$

6

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x>7$

3

$x\le10$

7

Multiple Choice

Question image

Find the range.

1

$y\ge-10$

2

All Real Numbers

3

$y\le10$

8

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x\ge-2$

3

$x\le5$

9

Multiple Choice

Question image

Find the range.

1

All Real Numbers

2

$y\ge4$

3

$y\le4$

10

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x\le-1$

3

$-1\le x\ge5$

11

Multiple Choice

Question image

Find the range.

1

All Real Numbers

2

$-3\le y\le3$

3

$y\le4$

12

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x\ge-2$

3

$x\le0.5$

13

Multiple Choice

Question image

Find the range.

1

All Real Numbers

2

$-2\le y\le0.5$

3

$y\le4$

14

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x\ge-3$

3

$x\le3$

15

Multiple Choice

Question image

Find the range.

1

All Real Numbers

2

$-3\le y\le2$

3

$y\ge3$

16

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x\ge-3$

3

$x\ge-1$

17

Multiple Choice

Question image

Find the range.

1

All Real Numbers

2

$-3\le y\le2$

3

$y\ge3$

18

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x=2$

3

$x\ge2$

19

Multiple Choice

Question image

Find the range.

1

All Real Numbers

2

$y=2$

3

$y\ge3$

20

Multiple Choice

Question image

Find the domain.

1

All Real Numbers

2

$x=4$

3

$x\ge-4$

21

Multiple Choice

Question image

Find the range.

1

All Real Numbers

2

$y=-4$

3

$y\ge-4$

22

What is a Function?

A function is a relation where each input (x) has exactly one output (y).

To test whether a relation is a function:

When given ordered pairs, if the x values repeat, it is NOT a function.

When given a graph, use the vertical line test. If a vertical line intersects a graph more than once, it is NOT a function.

23

Examples:

The x values repeat,

so it is NOT a

function.The input 3

has an output of 5 and

an output of 3.

Is it a function?

{(5,-2), (3,-5), (2,-5), (0,-2), (-1,-3)}

The x values do not repeat, so this IS a function.

Is it a function?

24

If you place a vertical line at x=1, it wll pass through 2 points, so this is NOT a function.

Is it a function?

25

Try It!

Determine if each relation is a function.

26

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

27

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

28

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

29

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

30

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

31

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

32

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

33

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

34

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

35

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

36

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

37

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

38

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

39

Multiple Choice

Question image

Is it a function?

1

Yes

2

No

pattern-tertiary

DOMAIN & RANGE OF CONTINUOUS GRAPHS

For DOMAIN, scan your pencil from left to right along the x-axis.

For RANGE, scan your pencil from top to bottom along the y-axis.

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