Notice our slope is positive right over here where as x increases, y is increasing, while our slope is negative here. So as you try to find the limit of our slope as we approach this point, it's not going to exist because it's different on the left-hand side and the right-hand side. So that's why the sharp turns, I don't see any sharp turns here, so it doesn't apply to this example. Let's do one more examples. And actually this one does have some sharp turns, so this could be interesting. The graph of function f is given to the left right here. It has a vertical asymptote at x equals negative three.