# Question #c4a4c

Let $f \left(x\right) = \left\{\begin{matrix}- \sqrt{1 - x} + 2 & \text{if" & x <= 1 \\ -(x-1)^2+2 & "if} & x > 1\end{matrix}\right.$.
$f$ is concave up on $\left(- \infty , 1\right)$ and concave down on $\left(1 , \infty\right)$ so $\left(1.2\right)$ is an inflection point. It is also a maximum point.