Respuesta :
Answer:
12
Step-by-step explanation:
Average rate of a function f(x) in the interval a to b is given by
Average rate of change =[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here since end points are -1 and 1, we have
a=-1 and b=1
b-a = 2
[tex]f(-1) =3\\f(1) = 27\\f(1)-f(-1) =27-3 =24[/tex]
Dividing we get
average rate of change
= 24/2 =12
On an average for 1 unit increase of x , f increases by 12 units.
Answer:
12
Step-by-step explanation:
We are given a table which holds the the values for a f(x) against every value of x.
We are to find the average rate of change of f(x) from the values of x -1 to 1.
Avg. rate of change from 1 to -1 = [tex] \frac { 27 - 3 } { 2 } = \frac { 24 } { 2 } = 12 [/tex]
Therefore, the average rate of change of f(x) from -1 to 1 is 12 which means for each unit of x, there is an increase of 12 units in f(x).