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ShìnshìàSabaku ShìnshìàSabaku
  • 10-01-2019
  • Mathematics
contestada

What is the average rate of change of the function f(x)=2x+4 over the interval -4 ≤ x ≤ 1? Table

Respuesta :

jimrgrant1 jimrgrant1
  • 10-01-2019

Answer:

2

Step-by-step explanation:

the rate of change is measured as

[tex]\frac{f(b) - f(a)}{b-a}[/tex] in the closed interval [ a, b ]

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

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

f(a) = f(- 4) = - 8 + 4 = - 4

average rate of change = [tex]\frac{6-(-4)}{1-(-4)}[/tex] = [tex]\frac{10}{5}[/tex] = 2

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