Question

Question #c4a4c

Answer 1

Yes.

Explanation:

Let `f(x) = {(-sqrt(1-x)+2,"if", x <= 1),(-(x-1)^2+2,"if",x>1):}`.

`f` is concave up on `(-oo,1)` and concave down on `(1,oo)` so `(1.2)` is an inflection point. It is also a maximum point.

Here is the graph: (Sorry the image is a little small.)