Question

What is the average rate of change from x=-4 to x=1​

Answer 1

- 1

Explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

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

here [ a, b ] = [ - 4, 1 ]

From the graph

f(b) = f(1) = - 1

f(a) = f(- 4) = 4

average rate of change =
`(-1-4)/(1-(-4))` =
`(-5)/(5)` = - 1

Answer 2

The rate of change is negative one
When you look at the two points and draw a line, you can see that it has a slope of -1 which is the average rate of change for it