The graph of a function $f$ is shown. Which graph is an antiderivative of f and why?
This should be easy but I keep second guessing myself so I thought I'd check with you magnificent people. I'm thinking that none of them are and the antiderivative should look more like the black line here:
Am I on the right track with this?
I think you're correct (except insofar as the black line is not precise). $f$ is positive but decreasing: the derivatives of $C$ and $D$ are both negative, while the derivatives of $A$ and $B$ are both increasing, so none of them can be $f$.
Of the given lines, though, $B$ seems "least wrong".