Question

Which of the following is an even function?

Answer 1

Answer:

• B. g(x) = 2x² + 1

Step-by-step explanation:

Even function has following property:

• g(x) = g(-x)

It is easy to show this works with the second choice only. All the others don't work:

• g(x) = (x - 1)² + 1
• g(-x) = (-x - 1)² + 1

This is not correct as x - 1 ≠ -x - 1 so as their squares, so g(x) ≠ g(-x)

The last two choices are not even similarly.