Which statement best describes how to determine whether f(x) = x^3 + 5x + 1 is an even function?

see explanation

Step-by-step explanation:

If f(x) is an even function, then

f(x) = f(- x)

f(- x) = (- x)³ + 5(- x) + 1 = - x³ - 5x + 1 ≠ x³ + 5x + 1

Thus f(x) is not an even function

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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