Answer
See graph and explanations.
Work Step by Step
1. Graph $y=log_4(x)$ using test points $x=\frac{1}{16}, \frac{1}{4},1,4,16,...$ as shown in the figure (red curve)
2. Shift the curve 2 units to the left to obtain $f(x)=log_4(x+2)$ (blue curve)
3. We can find the domain of $f(x)$ as $(-2,\infty)$ and range as $(-\infty,\infty)$
