The graphs of the function and its derivative are shown above for -1≤x≤4 . (a) Find the average rate of change of f over the interval -1≤x≤4. For how many values of x in the interval -1≤x≤4 does the instantaneous rate of change of f equal the average rate of change of f over that interval? (b) Write an equation for the line tangent to the graph of f at x = 1 (c) For each of lim x→2 (f(x)−f(2))/x−2 and lim x→3 (f(x)−f(3))/x−3, find the value or give a reason why it does not exist.

The graphs of the function and its derivative are shown above for -1≤x≤4 . (a) Find the average rate of change of f over the interval -1≤x≤4. For how many values of x in the interval -1≤x≤4 does the instantaneous rate of change of f equal the average rate of change of f over that interval? (b) Write an equation for the line tangent to the graph of f at x = 1 (c) For each of lim x→2 (f(x)−f(2))/x−2 and lim x→3 (f(x)−f(3))/x−3, find the value or give a reason why it does not exist.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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