Question

Asked Apr 26, 2019

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If f(0)= 3 and f '(x) is less than or equal to 3 for all values of x. Use the Mean value Theorem to determine how large f(4) can possibly be.

f(4) is less than or eqaul to _________

Step 1

The mean value theorem is, if a function is continuous on a closed interval [*a*, *b*], where *a < b* and it is differentiable on the open interval (*a*, *b*) than there exists a point *c* ∈ (*a*, *b*) such that,

Step 2

Since to determine the value of *f *(4), let take the interval as [0, 4].

Thus, substitute* a* = 0 and *b* =4 where *f*’(x) <=3 for all values of *x*.

Step 3

Then, *f*’(c) <=3 for some *c* ∈ (0...

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