The function $f$ is given by $f()=sin.$ Which of the following describes $f$ on the interval from $=$ to $=\frac{3}{2}?$

$($A$)f$ is decreasing, and the graph of $f$ is concave down.

$($B$)f$ is decreasing, and the graph of $f$ is concave up$.$

$($C$)f$ is increasing, and the graph of $f$ is concave down.

$($D$)f$ is increasing, and the graph of $f$ is condive up$.$