Question

Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

Determine whether 9 – 4(–x)2 is equivalent to 9 – 4x2.
Determine whether 9 – 4(–x2) is equivalent to 9 + 4x2.
Determine whether 9 – 4(–x)2 is equivalent to –(9 – 4x2).
Determine whether 9 – 4(–x2) is equivalent to –(9 + 4x2).

Answer 1

Answer: C :Determine whether 9 – 4(–x)² is equivalent to –(9 – 4x²).

Explanation:

A function f(x) is odd if f(-x)=-f(x).

We have thus to determine if 9-4*(-x)²= -(9-4*x²).

which is false since this function is even !!!

Answer is C