How do you find the absolute extreme values of each function on the interval $y = 10 - 8 x^{2}$ $y = 10 - 8x^2$ on [-1,2]?

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How do you find the absolute extreme values of each function on the interval $y = 10 - 8 x^{2}$ $y = 10 - 8x^2$ on [-1,2]?

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Answer 1 · 2018-07-16T15:47:58

$x = 0, y = 10$ $x=0,y=10$

Explanation:

Since we have an parabola in the form $y = - x^{2} + 10$ $y=-x^2+10$ we get the absolute maximum for $x = 0, y = 10$ $x=0,y=10$
checking the given interval:

$f (- 1) = 9 < 10$ $f(-1)=9<10$

$f (2) = 10 - 4 = 6 < 10$ $f(2)=10-4=6<10$
so the searched absolute extremum is $x = 0, y = 10$ $x=0,y=10$

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How do you find the absolute extreme values of each function on the interval $y = 10 - 8 x^{2}$ $y = 10 - 8x^2$ on [-1,2]?

1 Answer

Explanation:

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How do you find the absolute extreme values of each function on the interval $y = 10 - 8 x^{2}$ $y = 10 - 8x^2$ on [-1,2]?