Question

Calculate the average rate of change for the given function, from x = 2 to x = 7. x f(x) −2 0 2 15 7 30

Answer 1

(x,y) (2,15) (7,30)
Rate of change is finding slope.
(30-15)/(7-2)=
15/5=
3

Answer 2

3

Explanation:

Given :

x f(x)

-2 0

2 15

7 30

Solution :

Since the average rate of change is slope

So,

Slope m =
`(f(x_(2) )-f(x_(1)) )/(x_(2)-x_(1) )`

So, take
`f(x_(2) )=30,f(x_(1))=15,x_(2)=7,x_(1) =2`

Thus the slope =
`(30-15 )/(7-2)`

`(15)/(5)}`

`3`

Thus the average rate of change for the given function is 3