Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . the value of f(-1) is . the value of f(-4) is . the average rate of change of f(x) over the interval [-4, -1] is .

if we take a peek at the graph, the y-coordinate at x = -4 is y = -3, and the y-coordinate at x = -1, is y = 3,

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

the answer

b. they are parallel and will never intersect.