Let $$f(x) = \begin{cases}\displaystyle{b-2x}&\text{if}\ x < -4\cr \displaystyle{-\frac{96}{x-b}}&\text{if}\ x \ge -4.\end{cases}$$ Find the two values of $b$ for which $f$ is a continuous function at $-4$.

The one with the greater absolute value is $b=$.

Now draw a graph of $f$.