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  • 25-11-2020
  • Mathematics
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PLEASE HELP W MATH QUESTION !!!
( WILL MARK BRANLIEST )

PLEASE HELP W MATH QUESTION WILL MARK BRANLIEST class=

Respuesta :

jimrgrant1 jimrgrant1
  • 25-11-2020

Answer:

2

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 ] = [ - 5, - 1 ] , thus

f(b) = f(- 1) = - (- 1)² - 4(- 1) + 6 = - 1 + 4 + 6 = 9

f(a) = f(- 5) = - (- 5)² - 4(- 5) + 6 = - 25 + 20 + 6 = 1 , then

average rate of change = [tex]\frac{9-1}{- 1-(-5)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

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