anonymous
  • anonymous
Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(3) − f(1)? ?≤ f(3) − f(1) ≤? Im not really sure how to do this, the examples that i have aren't like this one, please help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
4 ≤ f '(x) ≤ 5 means the slope of the tangent line is between 4 and 5. The slope of the secant line from 1 to 3 is \[m = \frac{ f(3)-f(1) }{ 3-1 }=\frac{ f(3)-f(1) }{ 2 }\] So I think to get your answers you need to solve \[4 ≤\frac{ f(3)-f(1) }{ 2 }≤5\]
anonymous
  • anonymous
what would i plug in for f(3) though?
freckles
  • freckles
From your question it looks like you want to solve for f(3)-f(1)

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freckles
  • freckles
do you know how to undo division an equation... hint multiply by something that un does it
freckles
  • freckles
and this an inequality not an equation but basically works the same way
anonymous
  • anonymous
okay so i get 8
anonymous
  • anonymous
got it thanks!!

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