Question

Which of the following is an even fonction?

g(x)=(x-1)² +1
9(x) = 2x² +1
9(x) = 4x+2
g(x) = 2x

Answer 1

g(x)=2x^2 +1 would be the even function

Explanation:

To find if a function is even, you substitute -x for every x in the function. If the function stays the exact same, the function is even. For the first one, (x-1)^2 +1, If -x is substituted, we get (-x-1)^2 +1, which is not the same as the original function.

2x^2 +1 = 2(-x)^2 +1 =2x^2 +1 This function is even

(a negative squared will be positive)

4x+2 = 4(-x)+2 =-4x +2 This function is not even

2x = 2(-x) = -2x This function is not even