- #1

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f has the following four properties:

1. f is continuous for x >=0;

2.

f'(x) exists for x > 0;

3.

f(0) = 0;

4.

f'is monotonically increasing.

I'm just looking for functions that have these 4 properties to better understand what f represents.

So far, I came up with x^2 and x^3, but was looking for more examples. I'm just looking for examples so I can graph these and see a graphical representation. I was getting stuck on good functions to use.