7-1 Relations and Functions

Presentation

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Mathematics

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6th - 8th Grade

•

Practice Problem

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Easy

•

CCSS

HSF.IF.A.1, 6.NS.C.5, HSA.CED.A.2

Standards-aligned

Benny Boyd

Used 1+ times

FREE Resource

25 Slides • 19 Questions

7-1 Relations and Functions

Learning Intent: Students will identify functions from mapping diagrams, lists of ordered pairs, tables, and graphs.

Success Criteria: I can identify if a relation is a function or not.

MA.8.F.1.1 Given a set of ordered pairs, a table, a graph or mapping diagram, determine whether the relationship is a function. Identify the domain and range of the relation.

Learn: Relations and Functions

A ________________ is any set of ordered pairs. The __________________, or _________________, of the relation is the set of x-coordinates. The __________________, or __________________, is the set of y-coordinates. Relations can be represented as mapping diagrams, lists of ordered pairs, tables, and graphs.

Open Ended

What is the domain of the relation?

What is the range of the relation?

Type response here

A _____________________________ is relation that assigns exactly one output value to each input value. Each value in the domain is paired with exactly one value in the range.

Which of the following are functions:

A _____________________________ is relation that assigns exactly one output value to each input value. Each value in the domain is paired with exactly one value in the range.

Which of the following are functions:

Learn: Identify a function using ordered pairs.

None of the x-values repeat. Each input has exactly one output.

The x-value of 56 repeats so it has more than one output (130 & 128).
Therefore, this is not a function.

Labelling

Label each relation as a function or not a function.

Drag labels to their correct position on the image

Function

Not a Function

Open Ended

What is the domain and range for the set of ordered pairs?

Type response here

Open Ended

What is the domain and range for the set of ordered pairs?

Type response here

Learn: Identify a function using tables.

This table represents a function because each input has exactly one output.

Learn: Identify a function using tables.

This table does not represent a function because both x-values 1 & 3 have more than one output value.

Multiple Choice

Does the relation represent a function or not?

Function

Not a Function

Open Ended

What is the domain for the relation?

Type response here

Open Ended

What is the range for the table?

Type response here

Multiple Choice

Does the relation represent a function or not?

Function

Not a function

Open Ended

What is the domain and range for the set of ordered pairs?

Type response here

Learn: Identify a function using graphs.

Use the vertical line test to determine if a graph is a function. A vertical line should only touch the graph in one place if the graph represents a function. If it touches the graph in more than one place, it is not a function.

Learn: Identify a function using graphs.

This graph passes the vertical line test so it is a function. The vertical line only touches the graph in one place.

Learn: Identify a function using graphs.

The graph does not pass the vertical line test. The vertical line touches two points at the same time.

Labelling

Label each relation as a function or not a function.

Drag labels to their correct position on the image

Not a Function

Function

Categorize

Options (20)

Put under Orange

Put under red

Organize these options into the right categories

Function

Not a Function

Orange

Red

Multiple Choice

Find the DOMAIN

{-5, -2, 1, 4}

{1, -2, 4, -5}

{-1, 0, 2, 3}

{0, -1, 2, 3}

Multiple Choice

Find the RANGE

{-5, -2, 1, 4}

{1, -2, 4, -5}

{-1, 0, 2, 3}

{0, -1, 2, 3}

Multiple Choice

What is the domain?

{-4, -1, 0, 2, 7}

{-5, -4, -1, 0, 1, 2, 4, 7}

{-5, 0, 1, 2, 4}

{5}

Multiple Choice

Identify the domain of the following relation:
Remember domain is the "x" values

-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 of the mapping?

{1, 2, 4}

{0, 1, 2, 3}

{0, 3}

{1, 4}

Multiple Choice

What is the range of the table?

{-4, 0, 1, 3}

{-2, 0, 2, 3}

{-4, -2, 0, 1, 2, 3}

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

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

What is the range?

{-3, -1, 2, 4}

{0, 4, 7}

{0, 4, 4, 7}

{7, 4, 0}

7-1 Relations and Functions

Learning Intent: Students will identify functions from mapping diagrams, lists of ordered pairs, tables, and graphs.

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