# a. Graph the function ƒ(x) = sqrt(1 - x2), 0<=x<=1. What sym-metry does the graph have? b. Show that ƒ is its own inverse. (Remember that sqrt(x2) = x if x >=0.)

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a. Graph the function ƒ(x) = sqrt(1 - x2), 0<=x<=1. What sym-metry does the graph have? b. Show that ƒ is its own inverse. (Remember that sqrt(x2) = x if x >=0.)

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Step 1

PART a.

The function given is

Step 2

Graph of the function is shown below:

Step 3

Tests for each of the different types of symmetry are:

A graph will have symmetry about the x-axis if we get an equivalent equation when all the y’s are replaced with –y

A graph will have symmetry about the y-axis if we get an equivalent equation when all the x’s are replaced with –x.

A graph...

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