Question
Asked Sep 19, 2019
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Decide if the function is odd, even, or neither using definition
f(x) 22 3x
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Decide if the function is odd, even, or neither using definition f(x) 22 3x

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Expert Answer

Step 1

Refer to the question.

To check whether the function is even if f(-x) =f(x) for all real value of x and for the function to be odd if f(-x)= -f(x) for all real value of x.

f(x)2x2-3x
- 3x
Even: f(-x)(x)
odd: f(-x)(x)
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f(x)2x2-3x - 3x Even: f(-x)(x) odd: f(-x)(x)

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Step 2

Then first check for even .

f(-x)2(-x)-3(-x
= 2x23x
f(-x)(x) Not even
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f(-x)2(-x)-3(-x = 2x23x f(-x)(x) Not even

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Step 3

Similarly now check fo...

f(-x)2(-x)-3(-x
= 2x2 3x
-(x)=(2 -3x)
=-2x2 3x
f(-x)(x): Not odd
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f(-x)2(-x)-3(-x = 2x2 3x -(x)=(2 -3x) =-2x2 3x f(-x)(x): Not odd

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