susannawhidden susannawhidden
  • 19-02-2019
  • Mathematics
contestada

Calculate the average rate of change of f(x) = x2 - 1 x - 3 for 1 ≤ x ≤ 3. A) - 13 3 B) - 3 13 C) 13 3 D) 3 13

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Kamikazeminem
Kamikazeminem Kamikazeminem
  • 19-02-2019

[tex]Answer: \\ f(1) = - 3 \\ f(3) = 3 \\ Average \: rate \: of \: change: \\ \frac{f(3) - f(1)}{3 - 1} = \frac{6}{2} = 3[/tex]

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jimrgrant1 jimrgrant1
  • 19-02-2019

Answer:

3

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 ]

f(b) = f(3) = 3² - 3 - 3 = 9 - 3 - 3 = 3

f(a) = f(1) = 1² - 1 - 3 = 1 - 1 - 3 = - 3

average rate of change = [tex]\frac{3+3}{3-1}[/tex] = [tex]\frac{6}{2}[/tex] = 3

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