Question

Does there exist a function f such that f(0)=-1, f(2)= 4, and f'(x) is less than or equal to 2 for all x

Answer 1

so could you find the slope between those 2 points ?
0,-1 and 2,4 ??
i see you are also referring to
http://openstudy.com/study#/updates/5278061be4b0275c53860afe

Answer 2

@angel2015

Answer 3

Yes I did and I got 5/2

Answer 4

sorry for the late reply
yes, f'(x) can be 5/2 = 2.5
but we are given f'(x) \(\le2\)
so is it possible that such a function f exist ?

Answer 5

since 2.5 > 2
and f'(x) less than or = 2 for all x,
such function f cannot exist :)