kikiaraellis kikiaraellis
  • 18-09-2022
  • Geography
contestada

f(x) = x³ - 9x
x3
What is the average rate of change of f over the
interval [1, 6]?

Respuesta :

subtomex0
subtomex0 subtomex0
  • 18-09-2022

[tex]f(1) = 1 {}^{3} - 9(1) = - 8 \\ f(6) = 6 {}^{3} - 9(6) = 162[/tex]

[tex]rate = \frac{f(6) - f(1)}{6 - 1} = \frac{162 - ( - 8)}{6 - 1} = \frac{170}{5} \\ rate \: of \: change = 34 \: y \: per \: x[/tex]

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