increasing and decreasing functions

[deniz_hal]

would anyone help me out with my math homework question?

Question:
Give an example of functions f and g that are increasing on an interval I, but f-g is decreasing on I?

i'm really stuck with this one !

thanks,

Deniz

 

[tkhunny]

Part of the joy of mathematics is in the thinking. The answers won't necessarily fall out of your ears. You have to think about the questions and imagine answers.

Normally, the questions in a book are not magically harder than what you were just working on. Let's apply this concept. What kinds of functions have you been working with? Lines?

How do these relate to each other?

f(x) = 3x
g(x) = 4x

 

[deniz_hal]

well i'm taking calculus right now, and so far we've been working with limits, derivatives and so on...

 

[stapel]

Please review the tutor's reply and then spend some time thinking about the exercise.

The point of this exercise is that you figure something out, not that somebody else give you the answer (though the tutor has come very close to doing that; there is really very little left for you to do).

Thank you.

Eliz.