What is the range of the function shown on the graph? A. -infty lt ylt 3 B. -infty lt ylt -6 C. -6lt ylt infty D -infty lt ylt infty

To determine the range of the function shown on the graph, we need to identify the set of all possible output values (y-values) that the function can take.<br /><br />1. **Examine the Graph**: Look at the vertical extent of the graph to see the lowest and highest points it reaches along the y-axis.<br /><br />2. **Identify the Range**:<br /> - If the graph extends infinitely downward and has an upper bound at \( y = 3 \), then the range is \( -\infty < y < 3 \).<br /> - If the graph extends infinitely downward and has an upper bound at \( y = -6 \), then the range is \( -\infty < y < -6 \).<br /> - If the graph extends infinitely upward starting from \( y = -6 \), then the range is \( -6 < y < \infty \).<br /> - If the graph extends infinitely in both directions without any bounds, then the range is \( -\infty < y < \infty \).<br /><br />Based on these descriptions, you should be able to match the correct option with the observed behavior of the graph. If the graph shows a lower bound at \( y = -6 \) and extends upwards indefinitely, then the correct answer would be:<br /><br />C. \( -6 < y < \infty \)