For real numbers x , let

\(f(x) = \left\{ \begin{array}{cl} x+2 &\text{ if }x>3, \\ 2x+a &\text{ if }x\le 3. \end{array} \right.\)

What must the value of be to make the piecewise function continuous (which means that its graph can be drawn without lifting your pencil from the paper)?

Guest Jul 17, 2023