Pretty lost on this problem! Help needed!
Q: Suppose that 3 less than or equal to f^(x) is less than or equal to 5 for all values of x?
Show that 18 is less than or equal to f(8)- f(2) is less than or equal to 30.

Question

Pretty lost on this problem! Help needed! 
Q: Suppose that 3 less than or equal to f^(x) is less than or equal to 5 for all values of x?
Show that 18 is less than or equal to f(8)- f(2) is less than or equal to 30.

anonymous · Answer

I dont really know where to start..

dan815 · Answer

Show that 18 is less than or equal to f(8)- f(2) is less than or equal to 30.  what is thsi part saying

anonymous · Answer

Here lemme right it out: Suppose that $$3\le f'x \le 5 $$

dan815 · Answer

oh xD thats a derivative haha

anonymous · Answer

and show that $$18 \le f(8) - f(12) \le 30 $$

dan815 · Answer

okk

anonymous · Answer

lol yea

dan815 · Answer

basically, lets consider the max slope and min slope

dan815 · Answer

f'(x) has a min of 3 and max of 5 slope, what can we say about the distance change from f(8) to f(12) then

dan815 · Answer

i see you wrote f(2) up in your question then f(12) rewritten which one is it exactly?

anonymous · Answer

its f(2), sorry about that

dan815 · Answer

okay so

dan815 · Answer

do you have any ideas so far?

anonymous · Answer

how would you solve for what f(8) and f(2) is if they dont even give you what the orignal function is?

dan815 · Answer

we dont know f(8) and f(2) but we can see the max and min difference

dan815 · Answer

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