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by: Deryn Susman

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# Functions Continued MA121-02

Marketplace > Wagner College > Math > MA121-02 > Functions Continued
Deryn Susman
WC
GPA 3.922

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Specific focus on quadratics
COURSE
Analytic Geometry/Calculus I
PROF.
Florin Pop
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
KARMA
25 ?

## Popular in Math

This 1 page Class Notes was uploaded by Deryn Susman on Friday September 30, 2016. The Class Notes belongs to MA121-02 at Wagner College taught by Florin Pop in Fall 2016. Since its upload, it has received 8 views. For similar materials see Analytic Geometry/Calculus I in Math at Wagner College.

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Date Created: 09/30/16
More on Functions 8/31/2016 By Deryn Susman Piecewise Defined Functions |x| = {x for x ≥ 0}{−x for x < 0} Square Roots Defined: For every strictly positive number a>0, there are two numbers (one positive, one negative) whose square is “a”. The positive one is called the square root of “a” and is denoted by a radical (√ ). ±a This professor does notwantto see . x = {x > 0 (+)(+) =+}{x = o (0)(0) = 0}{x < 0 (−)(−) =+} 2 x ≥ 0 Quadratic Equations **Quadratics have 2 solutions** 2 x = 9 x = 3, x =−3 2 Must state that √ x = |x| to solve for 2 solutions Quadratic Formula 2 2a x =−b± b√−4ac / Factoring Qua2ratics (x+a)(x+b) = x +bx+ax+ab = x +(a+b)x + ab 2 x +sum ofconstants + productof constants FOIL: First, Inner, Outer, last Back to General Functions One input cannot have several outputs. It is possible that several inputs have equal outputs. Vertical Line Test: One x with 2 distinct y’s is not considered a function.

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