CB.Calc.FUN-1.B: Justify conclusions about functions by applying the Mean Value Theorem over an interval.

Justify conclusions about functions by applying the Mean Value Theorem over an interval.

Example Problems

Let

f(x) = \sqrt{5x - 2}

and let c be the number that satisfies the Mean Value Theorem for f on the interval

[1, 10]

.

What is c?

Let

f(x) = \sqrt{x}

and let

c

be the number that satisfies the Mean Value Theorem for

f

on the interval

[0, 36]

.

What is

c

?

Let

f(x) = \sqrt{x}

and let

c

be the number that satisfies the Mean Value Theorem for

f

on the interval

[0, 64]

.

What is

c

?

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