Daily Desmos 112a (Advanced)

Creator

Kate Nowak (@k8nowak)

Difficulty

Advanced

On to the Challenge!

So, a construction challenge. First, graph the red polynomial function f(x). Then, graph the line that is tangent to f(x) at the point (-1, f(-1)).

For bonus points, make the point of tangency draggable, so that you can see the line tangent to the function at any point.  Here is the sketch itself so you can see how dragging the point behaves. (Beware: I put a bunch of blank lines before the work, so hopefully you won’t be able to see how it’s done when you click the link. However, the spoilers are there if you scroll down.)