AngelPayan AngelPayan
  • 20-08-2021
  • Mathematics
contestada

Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

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Аноним Аноним
  • 20-08-2021

Answer:

2

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]

[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]

[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]

[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]

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