1103164704

The graph of $f$ is given in the figure, where $A$, $B$ and $C$ are points of the graph, and $y$-coordinate of the point $B$ is the minimum value of the function $f$. If $x_A$, $x_B$ and $x_C$ denote the $x$-coordinates of the points $A$, $B$ and $C$, and if $f^{\prime }$ is the derivative of $f$, then: