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

f(x) = 5x^2 - 2

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12-08-2019
Mathematics

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

f(x) = 5x^2 - 2

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rokettojanpu rokettojanpu · Answer 1 · 2019-08-13T20:53:17+02:00

rokettojanpu rokettojanpu

13-08-2019

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.

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

Respuesta :

Otras preguntas

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

f(x) = 5x^2 - 2