Prove algebraically what type of function this is (even, odd, or neither).

The given function is even.

Solution:

If f(-x) = f(x), then the function is even.

If f(-x) = -f(x), then the function is odd.

Given function:

Substitute x = -x

          = f(x)   (given)

   f(-x) = f(x)

From the definition, it is even.

Hence the given function is even.

all of the measures need to be converted to the same measure; such as inches. if you do that it is easy to determine which is the longest, 2500 mm which is approximately 97.5 inches.