Find the absolute maximum and absolute minimum values of the function : f(x)=x4−8x2−10 on interval = [-4,1]

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Find the absolute maximum and absolute minimum values of the function f(x)=x4−8x2−10 on the interval [-4,1] as follows.  On the interval [-4,1], the critical points of the function f(x)=x4−8x2−10 are x=-2 and x=0.  Now evaluate the function at the critical points x=-2 and x=0 and at the endpoints x=-4 and x=1 as shown below.  f(−4)=(−4)4−8(−4)2−10=256−128−10=118  f(−2)=(−2)4−8(−2)2−10=16−32−10=−26  f(0)=(0)4−8(0)2−10=0−0−10=−10  f(1)=(−1)4−8(−1)2−10=1−8−10=−17  Comparing the above values, it is clear that the absolute maximum and minimum of f on the interval [-4,1] are,  Absolute maximum : (x,f(x))=(-4, 118)  Absolute minimum : (x,f(x))=(-2, -26)

Find the absolute maximum and absolute minimum values of the

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