Question

Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?

a.Determine whether –(x3 + 5x + 1) is equivalent to x3 + 5x + 1.
b.Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.
c. Determine whether –x3 + 5x + 1 is equivalent to –(x3 + 5x + 1).
d. Determine whether (–x)3 + 5(–x) + 1 is equivalent to –(x3 + 5x + 1).

Answer 1

I have my notes here that will help you in answering the problem:

Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the functionis odd.

I hope my answer has come to your help. God bless and have a nice day ahead!