Respuesta :

Answer:

- [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

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

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

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

f(b) = f(1) = - 4 ← value from graph

f(a) = f(- 4) = 0 ← value from graph

Hence

average rate of change = [tex]\frac{-4-0}{1-(-4)}[/tex] = - [tex]\frac{4}{5}[/tex]

The average rate of change of a function is -4/5 from x=-4 to x=1 function is decreasing.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

f(-4) = 0

f(1) = -4

Average rate of change of a function = (-4-0)/(1-(-4))

= -4/5

Thus, the average rate of change of a function is -4/5 from x=-4 to x=1 function is decreasing.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Otras preguntas