Consider the function f(x)=x^2+3 and find the following:

a) The average rate of change between the points (-1,f(-1)) and (2,f(2)) .

b) The average rate of change between the points (a,f(a)) and (b,f(b)) .

c) The average rate of change between the points (x,f(x)) and (x+h,f(x+h)) .

Question

Consider the function f(x)=x^2+3 and find the following:

a) The average rate of change between the points   (-1,f(-1))   and   (2,f(2)) .

b) The average rate of change between the points   (a,f(a))   and   (b,f(b)) .

c) The average rate of change between the points   (x,f(x))   and   (x+h,f(x+h)) .

kira_yamato · Answer

f'(x) = 2x

kira_yamato · Answer

And then just plug in the values of x

anonymous · Answer

The average rate of change is (y2-y1)/(x2-x1).