Respuesta :

An even function is a function that is symmetrical over the y axis. With that said, D is the answer.

Answer:

The correct answer is D) f(x) = 7

Step-by-step explanation:

A function is even when  f(-x) = f(x) for all x in the domain of f.  We can say that the function is simetrical over x axis.  

To get which is the correct answer ,  we try the same  function for -x and x and we have to find the same answer. We are going to try with -5 and 5

A) f(x) = (x – 1)^2

f(5) = (5 – 1)^2 =16

f(-5) = (-5 – 1)^2 =36

Not even funtion

B) f(x) = 8x

f(-5) = 8 *-5 =-40

f(5) = 8*5  =40

Not even funtion

C) f(x) = x^2 – x

f(-5) = -5^2 – -5=30

f(5) = 5^2 – 5 =20

Not even funtion

D) f(x) = 7

f(-5) = 7

f(5) = 7

Even