2. What are the graphs of s and its inverse?

   Relation s	Reversing the Ordered Pairs	Inverse of s

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• 1. What are the graphs of t and its inverse?

  2. Reasoning Is t a function? Is the inverse of t a function? Explain.

     Relation t

     x	0	1	2	3
     y	−5	−4	−3	−3

Problem 2 Finding an Equation for the Inverse

What is the inverse of the relation described by y = x 2 − 1 ? y equals , x squared , minus 1 question mark

y = x 2 − 1   x = y 2 − 1 Switch  x  and  y . x + 1 = y 2 Add  1  to each side . ± x + 1 = y Find the square root of each side to solve for  y . table with 4 rows and 3 columns , row1 column 1 , y , column 2 equals , x squared , minus 1 , column 3 , row2 column 1 , x , column 2 equals , y squared , minus 1 , column 3 cap switch , x , and , y . , row3 column 1 , x plus 1 , column 2 equals , y squared , column 3 cap add , 1 . toeachside . . , row4 column 1 , plus minus , square root of x plus 1 end root , column 2 equals y , column 3 cap findthesquarerootofeachsidetosolvefor . y . , end table

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2. What is the inverse of y = 2 x + 8 ? y equals 2 x plus 8 question mark

Problem 3 Graphing a Relation and Its Inverse

What are the graphs of y = x 2 − 1 y equals , x squared , minus 1  and its inverse, y = ± x + 1 ? y equals plus minus , square root of x plus 1 end root , question mark

The graph of y = x 2 − 1 y equals , x squared , minus 1  is a parabola that opens upward with vertex ( 0 , − 1 ) . open 0 comma negative 1 close .  The graph of the inverse is the reflection of the parabola in the line y = x . y equals x .

Image Long Description

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3. What are the graphs of y = 2 x + 8 y equals 2 x plus 8  and its inverse?