Provide an appropriate response. A function is considered to be an even function if f(-x) = f(x). That is, the function is even if the value of a function for a given number is the same as the value of the function for the opposite of the given number. A function is considered to be an odd function if f(-x) = f(x). That is, the function is odd if the value of the function for a given number is the opposite of the value of the function for the opposite of the given number. For example, if for a certain function f(2) = 5 and f(-2) = 5, then it is even; and if for a certain function f(7) = -2 and f(-7) = 2, then it is odd.Given the function f(x) = -x3 + x, is the function even, odd, or neither? Evaluate f(3), f(-3), f(1), and f (-1) to make this determination.

Question

A. neither
B. even
C. odd

Answer 1

Answer: C