To Be A Function or Not To Be?

To Be A Function or Not To Be?

Presentation

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

8.F.A.1, HSF.IF.A.1, HSF.IF.B.4

+4

Standards-aligned

Created by

ASHLEY MORGAN

Used 18+ times

FREE Resource

10 Slides • 41 Questions

1

To Be A Function or Not To Be?

Goal:

I can determine whether or not a relation is a function

Slide image

2

Functions

When you put an input, you can only get out one output.

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3

Multiple Choice

Which of the following describes a function?

1

Has repeating x-values

2

Doesn't pass vertical line test

3

Each x-value has exactly one corresponding y-value

4

Multiple x-values to one y-value

4

Inputs and Outputs

Inputs are the x-values and is called the domain
In notation they are in the parentheses
Outputs are the y-values and is called the range
In notation they are outside the parentheses

5

Multiple Choice

Which of these is NOT the same

1

Range

2

Input

3

Dependent Value

4

Y-Value

6

Multiple Choice

All of the x values or inputs are called what?

1

Domain

2

Range

3

Relation

4

Function

7

Multiple Choice

All of the y values or outputs are called what?

1

Domain

2

Range

3

Relation

4

Function

8

Relations

(2,6) is an ordered pair that is in a form of (x,y)
This is a list of ordered pairs
{(2, 6) (3, 1) (4, 8)}

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9

Multiple Choice

Is this relation a function?

{(0,1), (1, 4), (2, 5), (3, 7)}

1

Function

2

Not a Function

10

Multiple Choice

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

1

Yes

2

No

11

Mapping

Visual grouping of inputs and outputs connected by arrows
Mapping will leave out duplicate numbers and instead will just show multiple arrows going to or from the number
The ovals can be labeled multiple ways
(input, x, domain)
(output, y , range)

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12

Multiple Choice

Question image

Is this a function?

1

Yes

2

No

3

I'm Confused

4

May I phone a friend?

13

Multiple Choice

Question image

Is this a function?

1

Yes

2

No

3

Let me ask my dog...

4

Why are there letters in math?

14

Tables

They can be presented as columns or rows
In one column will have x-values (inputs, domain)
The other column will have the y-values (output, domain)

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15

Multiple Choice

Question image

Is this table a function or not a function?

1

Function

2

Not a Function

16

Graphs

Remember only one y-value (output) for every x-value (input)
Use the vertical line test

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17

Multiple Choice

Question image

1

Function

2

Not a Function

18

Multiple Choice

Question image

Is this graph a function or not a function?

1

Function

2

Not a Function

19

In Review, all of theses are functions

Each x has only one y

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20

In Review, all of these are NOT a function

In each example, an x-value has more than one y-value

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21

Any questions?

Time to practice!

22

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

1

D: {1, -3, -4,}
R: {0, 1, 2, -4}

2

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

3

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

4

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

23

Multiple Choice

Which set of values is a function?

1

(9,5) (10,5) (9,-5) (10,-5)

2

(3,4) (4,-3) (7,4) (3, 8)

3

(6,-5) (7, -3) (8, -1) (9, 1)

4

(2, -2) (5, 9) (5, -7) (1, 4)

24

Multiple Choice

Question image

1

Function

2

Not a Function

25

Multiple Choice

Which of the following statements is true about a function?

1

A graph passes the vertical line test

2

A mapping has one arrow leaving each x value.

3

A table has repeated x's with the same y value

4

All of these are true.

26

Multiple Choice

In order to be a function the following must be true.

1

each x value has only one y value

2

each y value has only one x value

3

each x has only one y & each y has only one x

4

each x and y are equal

27

Multiple Choice

Question image

1

It is a function because each x has only one y.

2

It's not a function because an x has multiple y's.

3

It's not a function because a y has multiple x's.

4

It is a function because each y has only one x.

28

Multiple Choice

Question image

1

It is a function because each x has only one y.

2

It's not a function because an x has multiple y's.

3

It's not a function because a y has multiple x's.

4

It is a function because each y has only one x.

29

Multiple Choice

Question image

1

It is a function because no vertical lines hit it twice.

2

It's not a function because a vertical line hits it twice.

3

It's not a function because no vertical lines hit it twice.

4

It is a function because a vertical line hits it twice.

30

Multiple Choice

Question image

Is this mapping a function and how can you tell?

1

Yes its a function cause all the numbers have lines

2

No it's not a function because there a 5 in both ovals

3

No it's not a function because the x value 5 has y values of 2 & 9

4

No it's not a function because the y value 5 has x values of 2 & 9

31

Multiple Choice

Question image

1

Function

2

Not a Function

32

Multiple Choice

Question image

1

Function

2

Not a Function

33

Multiple Choice

Question image

Does this mapping diagram represent a function?

1

No, because there are repeating input values

2

Yes, because there are no repeating input values

34

Multiple Choice

Question image

Is this table a function and how can you tell?

1

Yes its a function because there are not variables for missing numbers

2

No it's not a function because the y value 4 repeated

3

No it isn't a function because the x value 2 is repeated

4

No it's not a function because the x value 5 has y values of 10 & 12

35

Multiple Choice

Question image

1

It is a function because no vertical lines hit it twice.

2

It's not a function because a vertical line hits it twice.

3

It's not a function because no vertical lines hit it twice.

4

It is a function because a vertical line hits it twice.

36

Multiple Choice

Question image

1

Function

2

Not a Function

37

Multiple Choice

Question image

Is this a function? Explain.

1

Yes; it passes the horizontal line test.

2

No; it is not a straight line.

3

Yes; it passes the vertical line test.

4

No; there is a line connecting the dots.

38

Multiple Choice

Question image

Is it a function?

1

It IS a function.

2

It IS NOT a function

39

Multiple Choice

Question image

1

Function

2

Not a Function

40

Multiple Choice

Question image

Which graph does NOT pass the vertical line test?

1

Graph 1

2

Graph 2

3

Graph 3

4

Graph 4

41

Multiple Choice

Question image

Does the graph represent a function?

1

Yes, because the vertical line test shows there are no repeating input values

2

No, because the vertical line test shows there are repeating input values

42

Multiple Choice

Question image

Is it a function?

1

It IS a function. One output for every input.

2

It IS NOT a function. One output for every input.

3

It IS a function. One input for every output.

4

It IS NOT a function. One input for every output.

43

Multiple Choice

Question image

Is it a function?

1

It IS a function.

2

It IS NOT a function

44

Multiple Choice

Question image

Is it a function?

1

It IS a function. It passes the vertical line test.

2

It IS NOT a function. It does not pass the vertical line test.

3

It IS a function. It passes the horizontal line test.

4

It IS NOT a function. It does not pass the horizontal line test.

45

Multiple Choice

Question image

Is it a function?

1

It IS a function. No x-values repeat.

2

It IS NOT a function, none of the y-values repeat.

3

It IS a function. The x- value 4 has two y-values.

4

It IS NOT a function. The x- value 4 has two y-values.

46

Multiple Choice

Question image

Is it a function?

1

It IS a function.

2

It IS NOT a function

47

Multiple Choice

Question image

Is it a function?

1

It IS a function.

2

It IS NOT a function

48

Multiple Choice

Question image

Choose the answer that describes the image.

1

Function

2

Linear

3

Not a function

4

Neither a relation nor a function

49

Multiple Choice

Question image

Is it a function?

1

It IS a function. Each input has one output.

2

It IS NOT a function. Each output is repeated.

3

It IS a function. The x- value repeats.

4

It IS NOT a function. Each input is repeated

50

Multiple Choice

Question image

Choose the answer that describes the image.

1

Function

2

Not a function

3

Linear

4

Neither a relation nor a function

51

Multiple Choice

A relation where every input in matches with exactly one output is called what?

1

Relation

2

Linear

3

Exponential

4

Function

To Be A Function or Not To Be?

Goal:

I can determine whether or not a relation is a function

Slide image

Show answer

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