найдите наибольшее и наименьшее значение функции: 1) у=х2-4х+5; 2) у=2-2х-х2 на...

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найдите наибольшее и наименьшее значение функции:
1) у=х2-4х+5; 2) у=2-2х-х2 на отрезке [2; 3]

Answers & Comments

ntormina

Verified answer

$y= x^{2} -4 x+5$ [2;3]
$x=2$ $y= 2^{2} -(4*2)+5=4-8+5=1$
$x=3$ $y= 3^{2} -(4*3)+5=9-12+5=2$
$ymax=2$
$ymin=1$

$y=2-2 x- x^{2}$   [2;3]
$x=2$    $y=2-(2*2)- 2^{2} =2-4-4=-6$
$x=3$    $y=2-(2*3)- 3^{2} =2-6-9=2-15=-13$
$ymax=-6$
$ymin=-13$

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Answers & Comments

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