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Finish the other half of the graph if it was even and odd.

Finish the other half of the graph if it was even and odd.-example-1
User Hzoo
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1 Answer

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To solve this problem, first, let's remember the definitions of even and odd functions.

• A function f is ,even, if the graph of f is ,symmetric about the y-axis,.

,

• A function f is ,odd, if the graph of f is ,symmetric about the origin.

a) To make the function even, we must complete the graph such the graph result is symmetric about the y-axis (the vertical axis). Doing that we get:

b) To make the function odd, we must complete the graph such the graph result is symmetric about the origin (the horizontal axis). Doing that we get:

Finish the other half of the graph if it was even and odd.-example-1
Finish the other half of the graph if it was even and odd.-example-2
User George Vovos
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5.4k points