Find the range of f(x). Use f'(x) to support your answer.

Attempt at a solution:

Find the max. value of the range is easy. I found the derivative and set it equal to zero. My REAL PROBLEM is finding the minimum value of the range.

The function's domain must be between -2 and 3 becus you cannot take the natural lg of a negative number or zero.

SO, as f(x) approaches, 3 or -2, does it approach negative infinity??

Am I right when I say its lower range is negative infinity?? HELP!