Question

Is the function even, odd or neither?

f(x) = |x| + 1



Your answer:


Even

Odd

Neither

Answer 1

Answer: Even

Explanation

Answer 2

Answer: Even

Explanation:

This graph has been translated up by one unit but is still symmetrical about the y axis.

A simple proof would be to check if f(x) = f(-x). If it does, then it is even.

To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.

To check for neither, f(-x) will not equal -f(x)