For real numbers x, let
f(x) = x + 2 if x > 3,
f(x) = 2x^2 + 3x + a if x <= 3.
What must the value of a be to make the piecewise function continuous (which means that its graph can be drawn without lifting your pencil from the paper)?
What must the value of a be to make the piecewise function continuous?
\(3+2=2\cdot 3^2+3\cdot 3+a \)