SOLUTION: I'd appreciate a response on this, tried to resolve a few times and couldn't get it right. Find the average rate of change of the function f(x)= 3÷2x-4 on the interval [-1,5

Algebra ->  Functions -> SOLUTION: I'd appreciate a response on this, tried to resolve a few times and couldn't get it right. Find the average rate of change of the function f(x)= 3÷2x-4 on the interval [-1,5      Log On


   

Question 1165893: I'd appreciate a response on this, tried to resolve a few times and couldn't get it right.
Find the average rate of change of the function
f(x)= 3÷2x-4 on the interval [-1,5].

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

The function is defined this way  f(x) = 3%2F%282x-4%29,  correct ?


If so, then you should do the following:


    1)  Calculate  f(-1) = 3%2F%282%2A%28-1%29-4%29 = 3%2F%28-2-4%29 = 3%2F%28-6%29 = -0.5.


    2)  Calculate  f(5) = 3%2F%282%2A5-4%29 = 3%2F6 = 0.5.



    3)  Calculate  the difference  f(5) - f(-1) = 0.5 - (-0.5) = 0.5 + 0.5 = 1.



    4)  Relate this difference to the length of the given interval 5 - (-1) = 5+1 = 6.



        You get then the average rate of change = %28f%285%29-f%28-1%29%29%2F%285-%28-1%29%29 = 1%2F6.    ANSWER


Is just something that you do not understand in my explanation ?