Question

Find the absolute minimum and absolute maximum values of f on the interval below. f(x) = x^4 - 8x^2 + 8 with point[-3, 4]

Answer 1

\[f(x) = x^4 - 8x^2 + 8\]
\[f'(x)=4x^3-16x\]
critical points at
\[4x^3-16x=0\]
\[4x(x^2-4)=0\]
\[4x)x+2)(x-2)=0\]
\[x=-2,0,2\]

Answer 2

your last job is finding
\[f(-3),f(-2),f(0),f(2),f(4)\] biggest is max, smallest is min