Question

What is the average rate of change of the function f(x) = - 3x + 5 over the interval x = - 1 to x = 1 ?

Answer 1

average rate of change = -3

Explanation:

given,

f(x) = - 3 x + 5

f(1) = - 3 (1) + 5

f(1) = 2

f(-1) = - 3 (-1) + 5

f(-1) = 3 + 5

f(-1) = 8

average rate of change

`= (f(-1)-f(1))/(-1-1)`

`= (8-2)/(-1-1)`

`= (6)/(-2)`

= -3

Answer 2

Answer:-3

Explanation:

Given

F(x)=-3 x +5

in the interval x=-1 to x=1

Average rate of change is given by
`=(F(b)-F(a))/(b-a)`

over x=a to x=b

F(1)=-3+5=2

F(-1)=3+5=8

Thus average rate of change
`=(2-8)/(1-(-1))=-3`