Answer:
f(-4)= -3
f(-1)= 3
Rate of change= 2
Step-by-step explanation:
We are asked to find the rate of change of f(x) over the interval:
[-4,-1]
We know that a rate of change of a function f(x) over the interval [a,b] is given by:
Here we have:
a= -4 and b= -1
Clearly from the graph we have:
The value of f(-1) is 3.
The value of f(-4) is -3.
The average rate of change of f(x) over the interval [-4, -1] is calculated by:
Hence, Rate of change over the interval [-4,-1] is: 2