Consider the function graphed at right. The function has a:Of:At x=The function is increasing on the intervals :The function is decreasing on the intervals :

In this problem
we have a quadratic equation (vertical parabola) open downward
so
the function has a maximum of vertex at (1,1)
the function is increasing on the interval ------> (-infinite, 1)
the function is decreasing on the interval -----> (1, infinite)