Find the average rate of change of g ( x ) = 5 x 3 + 4 from x = − 1 to x = 3

Question

contestada

Respuesta :

seto122 seto122 · Answer 1 · 2020-09-19T18:07:51+02:00

Answer:

Go to symbolab.com, online calculator, so good trust me

Step-by-step explanation:

Answer Link

PratikshaS PratikshaS · Answer 2 · 2022-06-22T12:34:16+02:00

The average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.

"It is a measure of how much the function changed per unit, on average, over that interval."

The average rate of change of function f over the interval a ≤ x ≤ b, is given by this expression: [tex]\frac{f(b)-f(a)}{b-a}[/tex]

For given question,

We have been given a function [tex]g ( x ) = 5 x^3 + 4[/tex]

We need to find the average rate of change of function g(x) from x = − 1 to x = 3

Here, a = -1 and b = 3

[tex]g(a)\\= g(-1)\\=5(-1)^3+4\\=-5+4\\=-1[/tex]

and the value of g(b) is,

[tex]g(b)\\=g(3)\\=5(3)^3+4\\=135+4\\=139[/tex]

Using the formula of average rate of change of function,

[tex]\frac{f(b)-f(a)}{b-a}\\\\=\frac{139-(-1)}{3-(-1)}\\\\=\frac{140}{4}\\\\=35[/tex]

Therefore, the average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.

Learn more about average rate of change of function here:

https://brainly.com/question/23715190

#SPJ3