A continuous function y=f(x) is known to be negative at x=0 and positive at x=1. Why does the equation f(x)=0 have at least one solution between x=0 and x=1? Illustrate with a sketch.

Question

loser66 · Answer

what does solution mean? does it mean f(x)=0 at some x?

anonymous · Answer

I think there are types of function where it is negative at x=0 and positive at x=1

loser66 · Answer

|dw:1378338431573:dw|

anonymous · Answer

And that I need to find the function that makes it true

anonymous · Answer

It could be a step function

loser66 · Answer

your problem is "A continuous function..." right? where does step function come from?

loser66 · Answer

step function is not a continuous function,friend

anonymous · Answer

Yea

anonymous · Answer

Could it be a cubed function?

loser66 · Answer

a line is ok, friend |dw:1378338857410:dw|