3

Functions

� The function y � f ( x)

: 1 . f( a ): Functional value when x� a

2 . Domain : Set of values of x 3 . Range : Set of values of y

�	ax � b Properties of rational function y � cx � d
1 .		1 y � : Reciprocal function x
2 .		a y � : Horizontal asymptote c
3 .		d x �� : Vertical asymptote c

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Quadratic Functions

� General form

� Other forms : 1 .

2 y � ax �bx � c , where a � 0 :

b h �� x -coordinate of the vertex

2a y -coordinate of the vertex

2 k � ah �bh � c

Extreme value of y x

2 y a( x h) k

� h Equation of the axis of symmetry

� � � : Vertex form 2 . y � a( x � p)( x � q)

: Factored form with x -intercepts p and q b p � q

� h � � � 2a

� The x -intercepts of the quadratic function corresponding quadratic equation

2 ax bx c

2 y � ax �bx � c are the roots of the � � � 0

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