Question

Find the average rate of change of the function f (x) = 5 - 3 x^3 on the interval [1, 4].

Answer 1

Answer:

The average rate of change of the function is 63.

Step-by-step explanation:

• We are given the function as: f (x) = 5 - 3 $x^{3\\}$

• Interval : [1,4] i.e. 1≤ $x$ ≤ 4

• The average rate of change of function is given by :

                                      $\frac{f(b)-f(a)}{b-a}$

                        where, b= upper limit

                                   a= lower limit

f(4)= 5 - 3* $4^{3}$

    =  - 187

f(1) = 5 - 3* $1^{3}$

     = 2

Average rate of change is:    $\frac{f(b)-f(a)}{b-a}$

                                          = $\frac{-187-2}{4-1}$

                                          = -63