2.5 Day 2 Piecewise Functions 2010.pdf

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2.5 Day 2 Piecewise Functions 2010.pdf

2.5 Day 2 Piecewise Functions 2010November 03, 2010What is a piecewise function?Nov 3­8:51 AM2


2.5 Day 2 Piecewise Functions 2010November 03, 2010Example #1:Graph:f(x) ={ 2 ­ x ­1 < x < 3­1 3 < x < 5Sep 26 ­ 3:38 PM5


2.5 Day 2 Piecewise Functions 2010November 03, 2010Example #2:Graph:{­2x + 3 if x < 1f(x) =3x ­ 2 if x > 1Oct 25­8:44 AM6


2.5 Day 2 Piecewise Functions 2010November 03, 2010Example #3:Graph:{x + 3 ­2 < x < 1f(x) = 5 x = 1­x + 2 x > 1Oct 25­8:52 AM7


2.5 Day 2 Piecewise Functions 2010November 03, 2010Example #4:Graph:={ f(x)1 + x x 0Hint: What does y = x 2 look like?Oct 25­9:03 AM8


2.5 Day 2 Piecewise Functions 2010November 03, 2010Rules to writing piecewise functions1) Always go from left to right.2) Write the equation, then the domain.3) You may have to extend the graph to find the y‐intercept.Sep 26 ­ 3:42 PM9


2.5 Day 2 Piecewise Functions 2010November 03, 2010Example #5:Write the piecewise function:f(x) ={1Sep 26 ­ 3:23 PM10


2.5 Day 2 Piecewise Functions 2010November 03, 2010Example #6:Write the piecewise function:f(x) ={1Sep 26 ­ 3:28 PM11


2.5 Day 2 Piecewise Functions 2010November 03, 2010HOMEWORK:page 115 (25, 26, 33, 36, 38, 42, 45, 57 ­64)Oct 25­9:28 AM12


2.5 Day 2 Piecewise Functions 2010November 03, 2010Nov 3­1:21 PM13

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