Find the average rate of change for the given function: f(x)=x^2+4x between x=0

Question

Find the average rate of change for the given function: f(x)=x^2+4x between x=0 and x=4. 3. The graph shows the total sales, in thousands of dollars, from the distribution of x thousand catalogs. Find and interpret the average rate of changes of sales with respect to the number of catalogs distributed for the given changes in x. a. 15 to 25 b. 35 to 45 C. What is happening to the rate of change of sales as the number of catalogs distributed increases? 4. Suppose the position of an object moving in a straight line is given by js(t) = t^2 + 6t + 5. Find the instantaneous velocity when t = 4.

Explanation / Answer

There are more than one problems, which have been submitted for solution. Only one problem can be solved here at a time. Hence problem at #1 is solved below:

Average rate of change of a functtion f(x) over an interval [a,b] is given by the formula [f(b)-f(a)]/ (b-a)

In the given problem, a=0. b=4. Accordingly, f(b)=42 +4*4= 32 f(a) =0

Average rate of change would thus be, (32-0)/(4-0) = 32/4=8.... Answer.

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