Determine algebraically whether the function is even, odd, or neither even nor odd.

f (x) = 5x^2 - 2

Question

Candy

Mathematics

19 January, 15:55

Determine algebraically whether the function is even, odd, or neither even nor odd.

f (x) = 5x^2 - 2

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Answers (1)

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Paul Mcpherson · Answer 1

The function f (x) is even if:

f (-x) = f (x)

f (x) is odd if:

f (-x) = - f (x)

Plug in - x into f (x):

f (-x) = 5 (-x) ^2 - 2

f (-x) = 5x^2 - 2

We got back our original f (x) by plugging in - x, so f (-x) = f (x), and therefore the function is even.

Determine algebraically whether the function is even, odd, or neither even nor odd.f (x) = 5x^2 - 2

Determine algebraically whether the function is even, odd, or neither even nor odd.

f (x) = 5x^2 - 2