3. Graphing an inverse [5.2] To graph an inverse, you want to reflect the original graph about the line y x. One way to do this is to identify a few key points on the original graph and write down the coordinates. You can get the corresponding points on the graph of the inverse by swapping the x and y coordinates. Plot each of these points and then draw the graph. a.Sketch a graph of f1 from the graph of f, on the same grid. 43 2 , -3 -51 b. If fhas a horizontal asymptote at y - a, then f1 has a vertical asymptote at x- a Sketch a graph off1 from the graph of f, on the empty grid below. Clearly identify any asymptotes. f(x) f-1(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 44E
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3. Graphing an inverse [5.2]
To graph an inverse, you want to reflect the original graph about the line y x. One
way to do this is to identify a few key points on the original graph and write down
the coordinates. You can get the corresponding points on the graph of the inverse
by swapping the x and y coordinates. Plot each of these points and then draw the
graph.
a.Sketch a graph of f1 from the graph of f, on the same grid.
43 2 ,
-3
-51
b. If fhas a horizontal asymptote at y - a, then f1 has a vertical asymptote at x- a
Sketch a graph off1 from the graph of f, on the empty grid below. Clearly identify
any asymptotes.
f(x)
f-1(x)
Transcribed Image Text:3. Graphing an inverse [5.2] To graph an inverse, you want to reflect the original graph about the line y x. One way to do this is to identify a few key points on the original graph and write down the coordinates. You can get the corresponding points on the graph of the inverse by swapping the x and y coordinates. Plot each of these points and then draw the graph. a.Sketch a graph of f1 from the graph of f, on the same grid. 43 2 , -3 -51 b. If fhas a horizontal asymptote at y - a, then f1 has a vertical asymptote at x- a Sketch a graph off1 from the graph of f, on the empty grid below. Clearly identify any asymptotes. f(x) f-1(x)
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