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

f (x) = - 8x^3 + 6x

A) Odd

B) Even

C) Neither

Question

Mathematics

Desmond Mckenzie

6 July, 09:57

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

f (x) = - 8x^3 + 6x

A) Odd

B) Even

C) Neither

+3

Answers (1)

Know the Answer?

Karen Oconnor · Answer 1

If f (-x) = f (x) then the function is even.

If f (-x) = - f (x) then the function is odd.

We have f (x) = - 8x³ + 6x.

f (-x) = - 8 (-x) ³ + 6 (-x) = - 8 (-x³) - 6 = 8x³ - 6

-f (x) = - (-8x³ + 6x) = 8x³ - 6x

f (-x) = - f (x)

Answer: The function is odd.

Determine algebraically whether the function is even, odd, or neither even nor odd.f (x) = - 8x^3 + 6xA) OddB) EvenC) Neither

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

f (x) = - 8x^3 + 6x

A) Odd

B) Even

C) Neither