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Relations and Functions
•The first elements in the ordered pairs (the x-values), form the domain. The second elements in the ordered pairs (the y-values), form the range. The range is the dependent variable.
Example: (9,2)
Function: A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it.
If it intersects in one point it’s a function.If more then it’s not a function.
Graph
Functions in real life:
how fastThe car travels
Writing Functions
x
Y
1
-2
2
-1
3
0
4
1
1-3=-2 or 1(-2)=-2
Which relations below are functions? Relation #1 { (-1,2), (-4,51), (1,2), (8,-51) }Relation #2 { (13,14), (13,5) , (16,7), (18,13) }Relation #3 { (3,90), (4,54), (6,71), (8,90) }
Which relations below are functions? Relation #1 { (3,4), (4,5), (6,7), (8,9) }Relation #2 { (3,4), (4,5), (6,7), (3,9) }Relation #3 { (-3,4), (4,-5), (0,0), (8,9) }Relation #4 { (8, 11), (34,5), (6,17), (8,19) }
Group 1
Group 2
Given f (x) = 3x + 7, find f (5).
Choose:15 22 42D
D
DD
DD
Speed Question
Use functional notation to describe the function displayed at the right.
x y-3 9-2 4-1 10 01 12 43 9
Speed Question
Choose:f (x) = 2xf (x) = x² f (x) = x + 2
DDDDDDDDD
Larry's father has five sons named Ten, Twenty, Thirty, Forty...Guess what would be the name of the fifth???
A challenge question
Thank you