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3 years ago

What does it mean for a function to have an absolute extreme value at a point c of an interval [a,b]

Mathematics

1 answer:

tekilochka [14]3 years ago

3 0

Hello from MrBillDoesMath!

Answer: Suppose the function is f(x). The statement means that either:

1) f(c) >= f(x) for x in the interval [a,b]

2) f(c) <= f(x) for x in the interval [a,b]

That is, the value of f(c) is larger (or smaller, take your choice) than the value of f(x) for all other x in the interval. Equivalently, f(c) is the largest (or smallest) value of f(x) in the interval.

Regards, MrB

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Ainat [17]

Answer:

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hope it helps :)

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2 years ago

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Step-by-step explanation:

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3 years ago

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IRISSAK [1]

Answer: B = (6,-8)

Step-by-step explanation:

first the midpoint formula is $(\frac{x1+x2}{2},\frac{y1+y2}{2})$

then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:

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then solve it like an equation:

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then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:

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then solve it like an equation:

$-6+y=-14\\y=-8$

∴ the answer is x=6, y= -8

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