Question

In: Math

Suppose f(x) is a very well behaved function in that it is continuous and differential everywhere,...

Suppose f(x) is a very well behaved function in that it is continuous and differential everywhere, and that f(2) = 6 and f(6) = 34.

a. Find the slope of the line between these two points on the graph.

b. What does the Mean Value Theorem tell you about f(x) in the interval between x = 2, and x = 6?

Expert Solution

(a)

Two points on the line are and

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(b)

f(x) is a very well behaved function in that it is continuous and differential everywhere.

Therefore

satisfies Mean value theorem in the interval between and

By Mean value theorem,

There is a number such that and

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milcah answered 2 years ago

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