Help PLEASE!! If f'(x) 0 for every x in the interval, then what can be said about f on the interval? If f'(x)

Question

Help PLEASE!!
If f'(x) > 0 for every x in the interval, then what can be said about f on the interval?  If f'(x) < 0 for every x interval, then what can be said about f on the interval?

zzr0ck3r · Answer

if a functions derivative is positive then the function is increasing, and vice versa

anonymous · Answer

when you say ice versa are you meaning at when a functions derivative is negative then its decreasing?

anonymous · Answer

vice versa*

zzr0ck3r · Answer

well that is true also, but i meant that if its increasing then its derivative is positive.

zzr0ck3r · Answer

but you are right, and that is what the question is asking

anonymous · Answer

Ok your answer makes sense to me.

anonymous · Answer

The problem does have a hint were it says draw a graph, how would i apply the answer to to  a graph?

anonymous · Answer

Just keep the graph smooth and up-going ^^