Domain, Range, and Functions

Presentation

•

Mathematics

•

8th Grade

•

Medium

•

CCSS

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

Standards-aligned

Rabah Issa

Used 40+ times

FREE Resource

4 Slides • 23 Questions

Relations have many input and output values (x and y)

Functions have only one input for each output (aka the x values never repeat)

Relation and Function

Mappings show the arrows from x to y values

If two arrows go from one x-value, it is not a function

Mapping

If you draw a vertical line through any place on the graph and it hits two points, it is not a function

Some text here about the topic of discussion.

Vertical Line Test

Domain is all of the INPUTS or X-VALUES

Range is all of the OUTPUTS or Y-VALUES

Domain and Range

Multiple Choice

Function

Not a Function

Multiple Choice

Is this mapping a function or not a function?

Function

Not a Function

Multiple Choice

All of the x values or inputs are called what?

Domain

Range

Relation

Function

Multiple Choice

All of the y values or outputs are called what?

Domain

Range

Relation

Function

Multiple Choice

Is this graph a function or not a function?

Function

Not a Function

Multiple Choice

Is this mapping a function or not a function?

Function

Not a Function

Multiple Choice

Is this graph a function or not a function?

Function

Not a Function

Multiple Choice

Is this table a function or not a function?

Function

Not a Function

Multiple Choice

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

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

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

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

Multiple Choice

Which set of values is a function?

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

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

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

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

Multiple Choice

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

Multiple Choice

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

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

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

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

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

Multiple Choice

{1, 2, 3, 4, 5}

{-1, 1, 2, 3}

{1, 2, 3, 5}

[1, 5]

Multiple Choice

What variable typically represents the domain?

Multiple Choice

What variable typically represents the range?

Multiple Choice

The set of all the inputs of a relation are called _____.

domain

range

Multiple Choice

The set of all the outputs of a relation are called _____.

domain

range

Multiple Choice

What is the domain?

{-6, 14, 2, 28}

{(-6,14), (0,32), (2,38), (4,44)}

{-6, 0, 2, 4}

{14, 32, 38, 44}

Multiple Choice

What is the range?

{-7, 5, -2, -4}

{-2, 5, 7}

{-4, 3, 6}

{-3, -6,-4}

Multiple Choice

What is the domain?

{-2, -1, 0, 1, 8}

{3, 5, 7 , 9, 0}

{-2, -1, 0, 1, 3, 5, 7, 8, 9}

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Multiple Choice

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

Multiple Choice

Is this table a function or not a function?

Function

Not a Function

Multiple Choice

Is this set of ordered pairs a function or not a function?

Function

Not a Function

Relations have many input and output values (x and y)

Functions have only one input for each output (aka the x values never repeat)

Relation and Function

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