Approximate critical numbers for the graph given

Question

Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.)

Approximate the critical numbers.

x = 6,3,9

 

List the critical numbers at which each phenomenon occurs. (If an answer does not exist, enter DNE.)

relative maxima	x	=	?
relative minima	x	=	?
absolute maxima	x	=	3,9
absolute minima	x	=	6

 

I know the absolute min and max but, but I'm having trouble with the relative min and max

Answer 1

Relative max is 3 and 9 - where derivative is zero (horizontal tangent)