emmielarson emmielarson
  • 23-04-2020
  • Mathematics
contestada

What is the average rate of change of the function f(x) = 2x2 + x + 5 over the interval −2 ≤ x ≤ 2?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 01-05-2020

Answer:

16

Step-by-step explanation:

Given the function f(x) = 2x² + x + 5, the rate of change of the function is given as d{f(x)}/dx= 4x+1

Expressing the rate of change over an interval −2 ≤ x ≤ 2:

When x = -2

d{f(x)}/dx = 4(-2)+1

d{f(x)}/dx = -8+1

d{f(x)}/dx = -7

When x = 2

d{f(x)}/dx = 4(2)+1

d{f(x)}/dx = 8+1

d{f(x)}/dx = 9

Average rate of change = 9-(-7)

Average rate of change = 16

Answer Link

Otras preguntas

What cells. Join to cause conception? Can you help me with all of them?
As viewed from a cliff 340 feet above sea level, a ship is 450 feet from the shore. What is the angle of depression from the cliff to the ship on the water belo
A rectangular field with an area of 5000m^2 is enclosed by 300m of fencing. Find the dimensions of the field? How?
what was the main goal of European explorers in the 1500s?
A telephone pole breaks and falls as shown. To the nearest foot, what was the original height of the pole?
A 50-kg child on a skateboard experiences a 75-N force. What is the expected acceleration of the child?
what was the main goal of European explorers in the 1500s?
how did the coercive acts affect trade Boston
how do we know that the people of Mohenjo-Daro created a highly organized civilization?
how do you write 3.04 as a mixed number?