Which statement best describes how to determine whether f (x) = 9 - 4x^2 is an odd function?

Determine whether 9 - 4 (-x) ^2 is equivalent to 9 - 4x^2.

Determine whether 9 - 4 (-x^2) is equivalent to 9 + 4x^2.

Determine whether 9 - 4 (-x) ^2 is equivalent to - (9 - 4x^2).

Determine whether 9 - 4 (-x^2) is equivalent to - (9 + 4x^2).

Question

Mathematics

Elaine Burton

20 November, 23:45

Which statement best describes how to determine whether f (x) = 9 - 4x^2 is an odd function?

Determine whether 9 - 4 (-x) ^2 is equivalent to 9 - 4x^2.

Determine whether 9 - 4 (-x^2) is equivalent to 9 + 4x^2.

Determine whether 9 - 4 (-x) ^2 is equivalent to - (9 - 4x^2).

Determine whether 9 - 4 (-x^2) is equivalent to - (9 + 4x^2).

+2

Answers (1)

Know the Answer?

Kaeden Norton · Answer 1

For odd functions there is a rule:

f (x) = - f (-x) or in other words

-f (x) = f (-x)

9 - 4x^2 = - (9-4 (-x) ^2) or in other words

- (9-4x^2) = 9 - 4 (-x) ^2

Answer is third option.