Question

Which sentence best describes the function shown?

A) The function is odd.
B) The function is even.
C) The function is symmetric about the x-axis.
D) The function is symmetric about the origin.

Answer 1

B) The function is even.

Explanation:

The function shown in the graph is ƒ(x) = |x|. This function is symmetric about the y-axis and is therefore, even.

In simple words: If you fold the picture in half then the lines should be on top of each other and become one. If this happens, then this is an even function.

Answer 2

The function is even since it is symmetric over the y axis.