IMathAS-libretexts

Consider the function

\displaystyle {f{{\left({x}\right)}}}={3}{x}^{{2}}-{6}{x}+{9},\quad{0}\leq{x}\leq{6}

.

The absolute maximum of

\displaystyle {f{{\left({x}\right)}}}

(on the given interval) is at

\displaystyle {x}

=

and the absolute minimum of

\displaystyle {f{{\left({x}\right)}}}

(on the given interval) is at

\displaystyle {x}