Find the average rate of change for the function over the given interval. Y = 3/x+2 between x = 1 and x = 4?

1 Answers

Oddman Profile
Oddman answered
∆y/∆x = ((3/4+2) - (3/1+2))/(4 - 1)
  = (2 3/4 - 5)/3
  = (-2 1/4)/3
  = (-9/4)/3 = -3/4
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If you mean
  y = 3/(x+2)
you will get a different result.
  ∆y/∆x = ((3/(4+2)) - (3/(1+2))/(4 - 1)
  = (3/6 - 3/3)/3
  = (1/2 - 1)/3
  = (-1/2)/3
  = -1/6

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