# Lesson 5.6 Inverse of a Function COMPLETE 1 .pptx -...

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February 10thAgenda:1. Check HW 5.52. Look at Quiz 5.0-5.23. Lesson 5.64. Work timeObjectives:-Find the inverse of arelation-Find the inverse of afunction-Graph a function andits inverse-Find the domain of afunction and of itsinverseHomework:WSCompleteScore13510-1247-934-621-3100
5.6 Inverse of a Function
-5-4-3-2-112345-5-4-3-2-112345-5-4-3-2-112345-5-4-3-2-112345-5-4-3-2-112345-5-4-3-2-112345Inverse RelationOrdered pairs (x,y) show us a relationship betweenxvalues andyvalues.We can show this by graphing.Ex 1)Ex 2)-5-4-3-2-112345-5-4-3-2-112345x1234y-1011-5-4-3-2-112345-5-4-3-2-112345-5-4-3-2-112345-5-4-3-2-112345x-1201y3124xyxyReflectedover the liney=xMain Idea: Interchangexandy
InterchangingxandyEx 3) Find the inverse ofy= 4x– 1.a)Is the inverse a function?b)Find the domain of each.c)Graph the function and its inverse.
Ex 4) Find the inverse ofa)Is the inverse a function?b)Find the domain of each..
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Unformatted text preview: Interchanging xand y 4 3 2 2 x x f Practice Ex 5) Find the inverse of f ( x ) = .a) Is the inverse a function? b) Find the domain of each. 2 2 xPractice Ex 6) Find the inverse of f ( x ) = . a) Is the inverse a function? b) Find the domain of each. 1 5 2 2 x Ex 7) . Find the following. Inverses and Composition a) b) c)d) 5 2 1 x xf x f f 1 18 1 f f 4 . 1 f f x f f 1 5.6 Inverse of a Function HW: p. 281-284 #3, 13-19 odd, 22, 37-39 odd, 55-58 all...
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