The function is defined for

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The function

p(t)=t^{4}-4t^{2}+3

is defined for

-3\le t\le 3

. Which of the following correctly lists the

t

-values where

p

attains its absolute minimum and its absolute maximum on the interval? (a) Absolute minimum at

t=0

and absolute maximum at

t=\pm3

(b) Absolute minimum at

t=\pm 2\sqrt{2}

and absolute maximum at

t=\pm3

t=\pm\sqrt{2}

and absolute maximum at

t=\pm3

(d) Absolute minimum at

t=\pm\sqrt{2}

and absolute maximum at

t=0