which statement best describes how to determine whether f(x) = 9 - 4x² is an odd function?\ndetermine…

which statement best describes how to determine whether f(x) = 9 - 4x² is an odd function?\ndetermine whether 9 - 4(-x)² is equivalent to 9 - 4x².\ndetermine whether 9 - 4(-x²) is equivalent to 9 + 4x².\ndetermine whether 9 - 4(-x)² is equivalent to -(9 - 4x²).\ndetermine whether 9 - 4(-x²) is equivalent to -(9 + 4x²).

which statement best describes how to determine whether f(x) = 9 - 4x² is an odd function?\ndetermine whether 9 - 4(-x)² is equivalent to 9 - 4x².\ndetermine whether 9 - 4(-x²) is equivalent to 9 + 4x².\ndetermine whether 9 - 4(-x)² is equivalent to -(9 - 4x²).\ndetermine whether 9 - 4(-x²) is equivalent to -(9 + 4x²).

Answer

Explanation:

Step1: Recall odd - function definition

A function (y = f(x)) is odd if (f(-x)=-f(x)) for all (x) in the domain of (f). Given (f(x)=9 - 4x^{2}), we need to find (f(-x)) and check if it equals (-f(x)). First, find (f(-x)): Substitute (-x) into (f(x)), so (f(-x)=9 - 4(-x)^{2}=9 - 4x^{2}). And (-f(x)=-(9 - 4x^{2})=- 9+4x^{2}). We need to determine whether (f(-x)=9 - 4(-x)^{2}) is equivalent to (-f(x)=-(9 - 4x^{2})).

Answer:

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