Question

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

Answer 1

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 :

`(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:
`(f(b)-f(a))/(b-a)`

=
`(-187-2)/(4-1)`

= -63