Consider the function f(x)=(x/x^2+16)

Question

This function has two critical numbers A < B with A=-4 and B=4. On the interval [0,7], the function f(x) has an absolute maximum of (1/8) at x= 4.

**I figured out the answer to those but I need help more with...

and an absolute minimum of ____ at x=_____

Answer 1

I assume you mean f(x) = x/(x² + 16).

The function is odd, i.e. f(-x) = - f(x).

f(-4) = - f(4)...and that is your answer!