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Chapter 3: Q. 12 (page 176)

Is the functionfx=x22x+1 even, odd, or neither?

Short Answer

Expert verified

The function is neither even nor odd.

Step by step solution

01

Step 1. Given information.

Is the function fx=x22x+1even, odd, or neither?

02

Step 2. Definition.

If the function is even then:

f-x=fx

If the function is odd then:

f(-x)=-fx

03

Step 3. Determine the function.

fx=x22x+1f-x=-x22-x+1=x2-2x+1=-x22x-1

So, f-x鈮�f(x)andf(-x)鈮�-f(x).

The function is neither even nor odd.

04

Step 3. Conclusion.

The function is neither even nor odd.

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