First slide

Functions (XII)

Question

$Let f (x) = min . {4 x + 1, x + 2, - 2 x + 4} . Then the maximum value of f (x) is$

Moderate

A

$\frac{1}{3}$
B

$\frac{10}{3}$
C

$\frac{2}{3}$
D

$\frac{8}{3}$

Solution

$f (x) = b o u n d a r y o f t h e s h a d e d r e g i o n$
$f (x) m a x i m u m v a l u e = \frac{8}{3}$ $(s o l v e t h e e q u a t i o n s y = x + 2 a n d y = - 2 x + 4)$

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