1. The problem asks to find the actual range of the function based on the graph and given options. 2. From the graph description, the function approaches a horizontal asymptote near $y = -2$ and increases without bound as $x$ increases. 3. The range of such an exponential function is all $y$ values greater than the horizontal asymptote, so $y > -2$. 4. Among the options, the correct range must start just above $-2$ and extend to infinity. 5. If the options include $-3 < y < \infty$ and $-\infty < y < 3$, the first option is closer but not exact. 6. The actual range based on the graph is $\boxed{-2 < y < \infty}$. 7. Therefore, the correct answer is the range $-2 < y < \infty$ which may not be exactly listed but is the true range from the graph.