calebthejohncenafan calebthejohncenafan
  • 26-04-2020
  • Mathematics
contestada

Find the average rate of change of the parabola below over the interval [1,3]

Find the average rate of change of the parabola below over the interval 13 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 26-04-2020

Answer:

D

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 ] = [ 1, 3 ], thus

f(b) = f(3) = 5 ← from graph

f(a) = f(1) = - 3 ← from graph

average rate of change = [tex]\frac{5-(-3)}{3-1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → D

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