Question

Use the following table of the function f(xl= x^4 -4x to answer this question.

-2 :24,
-1:5,
0:0,
1:-3,
2:8
what is the average rate of change from x=0 to x=2

Answer 1

The function in question is f(x)= x^4 -4x, and the interval of interest is [0,2].

The average rate of change of this function on [0,2] is given by:

f(2) - f(0) 2^4 - 4(2) - [0^4 - 4(0)]

--------------- = ----------------------------------- = 4

2-0 2