Find the intervals in which the function $f$ given by $f (x) = 2x^2 - 3x$ is $(a)$ strictly increasing

Question

$\begin{array}{1 1} increasing \;in \;(-\infty,\frac{-3}{4}) decreasing\; in \;(\frac{-3}{4},\infty) \\ increasing\; in \;(-\infty,\frac{-3}{4}) decreasing \;in \;(\frac{3}{4},\infty) \\increasing \;in \;(-\infty,\frac{3}{4}) decreasing\; in\; (\frac{3}{4},\infty) \\ decreasing \;in\; (-\infty,\frac{3}{4}) increasing \;in \;(\frac{3}{4},\infty)\end{array}$