Question

HELP!!!!

If f(x) = (xm + 9)2, which statement about f(x) is true?



A. f(x) is an even function for all values of m.

B. f(x) is an even function for all even values of m.

C. f(x) is an odd function for all values of m.

D. f(x) is an odd function for all odd values of m.

Answer 1

The statement D: f(x) is an odd function for all odd values of m is true.

Step-by-step explanation:

An even function is symmetric about the y-axis, while an odd function is generated by reflecting the function about the y-axis and then about the x-axis. When we have the function f(x) = (xm + 9)^2, the exponent, m, determines whether the function is even or odd. If m is an even number, f(x) will be an even function. If m is an odd number, f(x) will be an odd function. Therefore, statement D: f(x) is an odd function for all odd values of m is true.

Answer 2

The answer is B) f(x) is an even function for all even values of m.