1105_Quick_Reference_of_Function_Families_F11

1105_Quick_Reference_of_Function_Families_F11 - Function...

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Function Families Quick Reference Linear Functions ( ) y f x b mx = = + Domain: ( ) , -∞ +∞ The y -intercept occurs at ( ) 0, b , and b is the initial (starting) output value. The horizontal line through point ( ) , a b has slope 0 and equation y b = . The vertical line through point ( ) , a b has undefined slope and equation x a = . If average rate of change (slope) of f is constant over all input intervals, f is a linear function. For any non-vertical line passing through ( ) 1 1 , x y and ( ) 2 2 , x y , slope 2 1 2 1 y y y m x x x - Δ = = Δ - . Parallel lines have equal slopes and perpen- dicular lines have negative reciprocal slopes. Point-Slope Form: The non-vertical line passing with slope m has equation ( ) 1 1 y y m x x - = - . If y k = for some constant of proportionality k , we say y is directly proportional to x , or y varies directly with x Quadratic Functions Standard Form: For 0 a , 2 ( ) y f x ax bx c = = + + with domain ( ) , -∞ +∞ . Vertex Form: The parabola with vertex ( ) , h k is given by ( ) 2 y a x h k = - + . Factored Form:
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This document was uploaded on 12/11/2011.

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1105_Quick_Reference_of_Function_Families_F11 - Function...

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