Relations and functions

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

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

Standards-aligned

Used 278+ times

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7 Slides • 8 Questions

Relations and functions

SWBAT: Distinguish between and relation and a function given a mapping, chart, equation, or graph.

Relation

Set of ordered pairs
Examples: {(1,3),(3,6), (9,10), (4,4)

Function:

Set of ordered pairs who "x" value does not repeat
Example: {(1,2), (2,3),(4,5),(6,10)

X-Value

Domain
Input
Independent variable

Y-Value

Range
Output
Dependent Variable

Vertical Line Test

If vertical line touches graph more than once-NOT A FUNCTION
If vertical line touches graph only one then a FUNCTION

Examples of Vertical Line Test

Multiple Choice

Is this a function?

Yes

Multiple Choice

Is this a function?

Yes

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}

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

Multiple Choice

Is this a function?

Yes

Multiple Choice

Does the graph represent a function?

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

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

Multiple Choice

Is this table a function or not a function?

Function

Not a Function

Multiple Choice

The following relation is a function.

{(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)}

True

False

Multiple Choice

Which of the relations below is a function?

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

{(2, 3), (3, 4), (6, 2), (7, 3)}

{(2, 3), ( 3, 4), (6, 2), (3, 3)}

Relations and functions

SWBAT: Distinguish between and relation and a function given a mapping, chart, equation, or graph.

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