Final answer:
The domain of the runner's position versus time graph includes all possible times from the start to the end of the run, while the range includes all distances from home covered during the run. The domain is typically the set of non-negative times, and the range includes positive and negative distances depending on the direction of the run relative to the starting point.
Step-by-step explanation:
The question you've asked about the runner measuring her distance from home while running relates to the domain and range for the graph of her run. In the context of a position versus time graph, the domain represents all the possible values of time during the runner's journey, which typically includes all positive times starting from zero when the runner leaves home until the runner stops. The range, on the other hand, would include the possible distances from the starting point (home) that the runner could have covered during the run. This can include positive values when moving away from home and negative values if she returns towards the starting point if we consider home as the origin.
For example, let's consider Jill's situation from Delivering Flyers where she traveled 0.5 km, returned, and then continued farther to end up 1.0 km from home. If we draw a position versus time graph for this run, we will have a line that departs from the origin, returns to it, and moves away again, reflecting these changes in position over time.
Without specific details of the runner's movements, we cannot give explicit numbers for the domain and range, but generally, the domain would be [0, time the runner stops] and the range would be based on the furthest points the runner reaches from home in either direction.