Question

Which of the following is an even function?

Answer 1

Answer:

f(x) = |x| that's the answer

Answer 2

Answer: f(x) = |x|

Step-by-step explanation:

A function is even if for every real N, f(N) = f(-N)

As you know, the module of a function always returns the positive value of a number, so I-3I = 3 = I3I (and that for every number)

So the function f(x) = IxI is an even function.

Functions with odd powers can not be even functions, so the second and tird options are discarded.

the fourth functions seems to be:

f(x) =∛x = (x)1/3 which is not even, because if x = 1, f(1) = 1, and if x=-1, f(-1) = -1