absolute minimum value equal to= and an absolute maximum value

Question

Consider the function .

This function has an absolute minimum value equal to= 

  and an absolute maximum value equal to=

Answer 1

The first derivative is 6x^{2}+12x-90,

The roots of 6x^{2}+12x-90=0, hence, extremas, are x = 3 and -5.

A quick check that when x = 0 y = 7, or even check where it is increasing (you can use the second derivative if you'd like, 12x+12)

You get that pm closed interval [-5,4]

Abs. Max : (-5,357)

Abs. Min (3,-155) -- not (4,-129)!