

Relations and Functions
Presentation
•
Mathematics
•
8th - 9th Grade
•
Medium
Standards-aligned
Casandra Garcia
Used 1K+ times
FREE Resource
12 Slides • 4 Questions
1
Relations and Functions

2
What is a relation?
A relation is a set of inputs and outputs
Ordered Pairs
Table
Graph
Mapping Diagram
3
What is a function?
A function is a relation in which each input(domain) is paired with exactly one output(range)
x's DO NOT repeat
4
Function or Not a Function?
Which relation represents y as a function of x?
Which relation does not represent y as a function of x?
5
Identify the domain and range. Does the relation represent y as a function of x?
Domain
{-2, 0, 4, 5}
Range
{2, 5, 6}
Is the relation a function?
Yes; the x's DO NOT repeat
6
Identify the domain and range. Does the relation represent y as a function of x?
Domain
{-1, 2, 4}
Range
{3, 6, 8}
Is the relation a function?
No; the x value of -1 repeats
7
Multiple Choice
Identify the domain and range. Does the relation represent y as a function of x?
D: {4}
R: {1, 3, 7, 10}
No, it is not a function.
D: {1, 3, 7, 10}
R: {4}
Yes, it is a function
D: {4}
R: {1, 3, 7, 10}
Yes, it is a function.
8
Multiple Choice
Which table represents y as a function of x?
Table 1
Table 2
9
Mapping Diagrams
Take a look at the 2 mapping diagrams on the next slide. Decide which mapping is a function and why.
10
11
Mapping Diagrams
A mapping is a function if there is only ONE ARROW coming out of each DOMAIN value. In the previous slide, Mapping #1 is a function and Mapping #2 is NOT a function.
x's DO NOT repeat
12
Multiple Choice
Which relation represents y as a function of x?
Mapping #1
Mapping #2
13
Graphs
Take a look at the 2 graphs on the next slide. Decide which graph is a function and why.
14
15
Graphs
A graph is a function if none of the x values repeat. You can use the VERTICAL LINE TEST (VLT) to be sure that no two points go through the same vertical line. In the previous slide, Graph #1 is a function and Graph #2 is NOT a function.
16
Multiple Choice
Which graph does not represent y as a function of x?
Graph #1
Graph #2
Relations and Functions

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