Function Range 1A3013
1. The problem asks for the range of the function shown in the graph.
2. From the description, the function behaves like an exponential function that starts near $y = -2$ for $x < 0$ and then increases rapidly for $x > 0$.
3. Exponential functions generally have ranges of the form $y > k$ or $y < k$ where $k$ is a horizontal asymptote.
4. Since the graph starts near $y = -2$ and then increases without bound, the horizontal asymptote is approximately $y = -2$.
5. Therefore, the range is all $y$ values greater than $-2$, or $-2 < y < \infty$.
6. Comparing this to the options given:
- Option A: $-3 < y < \infty$
- Option B: $-\infty < y < 3$
7. The closest correct range is option A, since the lower bound is near $-3$ and the function increases to infinity.
Final answer: **A. $-3 < y < \infty$**