Answer:
The characteristics given for the function f are as follows:
1. Range: The range of f is (-4, ∞), which means that the function's output values start from -4 and go to positive infinity.
2. Symmetry: The graph of f is symmetric about the line x = -1. This means that if we reflect any point on the graph across the line x = -1, the resulting point will also be on the graph.
3. Y-intercept: The y-intercept of f is -3. The y-intercept is the point where the graph of a function intersects the y-axis, and in this case, it intersects at the point (-1, -3).
Based on these characteristics, we can determine the general shape and behavior of the function. Since the range is (-4, ∞), we know that the function will start from -4 and go towards positive infinity as we move to the right on the x-axis. The symmetry about the line x = -1 means that the graph will be the same on both sides of this line. Finally, the y-intercept at (-1, -3) indicates that the graph will pass through this point.
Please note that without a specific equation for the function, we cannot provide an exact graph or equation for f. However, with the given characteristics, we have a general understanding of how the graph would look and behave.
Explanation: