functions and relations not relationships relations
TRANSCRIPT
Functions and Relations
Standard: 18.0 Students determine whether a relation defined by a
graph, a set of ordered pairs, or a symbolic expression is a function
and justify the conclusion.
Objective:
•The students should be able to determine if a set of ordered pairs is a function.
•Apply the vertical line test to determine if a graph is a function
Vocabulary
Relation
Function
Input
Output
Graph
Domain
Domain RangeVertical line testDiscrete Continuous
What are functions?
Even though two different inputs may give the same outputFor example: f(x) = x2
(3,9) and (-3, 9)f(x) is still a function. Every x has a unique y, not every y has a unique x.
What are functions? Determine if the set of ordered pairs is a
function? Explain(5,2) (4,1) (3,0) (2,-1) (1,-2) (0,-3)
(2,2) (3,3) (4,4) (5,5) (6,6)
(2,1) (2,2) (2,3) (2,4) (2,5)
(-2,2) (-4,2) (-6,2) (-8,2)
(9,-9) (8,-8) (7,-7) (9,-6)
No
No
Yes
Yes
No
No
Yes
YesNo
Yes
What are functions?
A vertical line should intersect the graph at exactly one point.
Vertical Line Test