Correct
following function is even, odd, or neither.

Deven Odd O Neither

The function is an even function. This is because when you replace with , the output remains the same: . So, it is symmetric with respect to the y-axis, confirming its evenness.

In various fields, recognizing whether a function is even, odd, or neither helps in simplifying equations and integrals. For example, even functions allow us to easily compute integrals over symmetric intervals, utilizing properties like symmetry to save time and effort in calculations, especially in physics and engineering!