Meg Modzelewski
Kristin Huntington
Relation-a set of ordered pairs
{(1,5),(-2,3)}
Function-relation in Which every input (x) has only one output Cy)
(does the x repeat Itself? If so, it's not a function)
vertical line test- If line crosses more than once, then It is not a function
Function Notation -f(x)
- reads as F of X
Ex. Which equation Represent y as a function of X?
a.) x2+ y= 1
y= -x2 +1
Yes it is a function because it passes the vertical line test.
b.) -x+Y2 =1
Y2 = x+1
Y2 =
y = ±
Not a function because it does not pass the vertical line test.
*if solve for y and get 2 equations, its not a function*
ex) f(x)= -x2+4x+1 find: f(2), h(x+1)
f(2)= -22+4(2)+1
= -4+8+1
= 5
h(x+2) = - + 4(x+2) +1
= -(x2+4x+4)+4x+8+1
= -x2-4x-4x+4x+8+1
= -x2+5
Piece-wise Function
a) f(0)= 0/2 +1
= 1
b)
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