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Compute the average rate of change of f(x)=(x+4)/(x-3) over the interval [5,7].
A)4/3
B)7/8
C)-7/8
D)-4/3
(Image attached below)

Compute the average rate of change of fxx4x3 over the interval 57 A43 B78 C78 D43 Image attached below class=

Respuesta :

mhanifa

Answer:

  • C) - 7/8

Step-by-step explanation:

Average rate of change is:

  • [f(7) - f(5)]/(7 - 5)

Find the values and substitute into expression:

  • f(7) = (7 + 4)/(7 - 3) = 11/4
  • f(5) = (5 + 4)/(5 - 3) = 9/2 = 18/4

Find the rate of change:

  • (11/4 - 18/4)/2 = (-7/4)/2 = - 7/8

Correct choice is C

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