anonymous
  • anonymous
Calculate the average rate of change for the given function, from x = −3 to x = 7. x f(x) -3 50 3 10 7 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Vocaloid
  • Vocaloid
hint: average rate of change in a function from x = A to x = B can be expressed in the form [f(B)-f(A)]/(B-A)
Vocaloid
  • Vocaloid
substitute x = -3 for A and x = 7 for B
anonymous
  • anonymous
So [f(8)-f(-3)] 8-(-3)

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Vocaloid
  • Vocaloid
not quite, where is the 8 coming from?
anonymous
  • anonymous
Oh xD meant to be a 7
Vocaloid
  • Vocaloid
right, [f(7)-f(-3)] / 7-(-3)
Vocaloid
  • Vocaloid
(we're not done yet, you still need to plug in your values of f(7), f(-3), and simplify)
anonymous
  • anonymous
So f(10) /10 ?
Vocaloid
  • Vocaloid
uh, not quite what is the value of f(7)?
Vocaloid
  • Vocaloid
look at the table
anonymous
  • anonymous
0?
Vocaloid
  • Vocaloid
right, now what is the value of f(-3)?
anonymous
  • anonymous
50
Vocaloid
  • Vocaloid
Right! so, our formula [f(7)-f(-3)] / 7-(-3) gives us (0-50)/(10)
Vocaloid
  • Vocaloid
which is -5
anonymous
  • anonymous
Sweet thanks a lot :D

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