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?

Answer 1

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

Answer 2

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

Answer 3

vice versa*

Answer 4

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

Answer 5

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

Answer 6

Ok your answer makes sense to me.

Answer 7

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

Answer 8

Just keep the graph smooth and up-going ^^