Let \[f(x) = \begin{cases} x^2&\text{if } x\le 3, \\ 3ax &\text{if } x>3. \end{cases} \] Find the value of $a$ if the graph of $y=f(x)$ is continuous (which means the graph can be drawn without lifting your pencil from the paper).
Put 3 into both functions for x and set them equal
3^2 = 3a (3)
9 = 9a
a = 1
+817 
