Complete Question:
Michael's family was traveling to visit prospective colleges. They drove to the closest college that interested him, took a tour, and then drove to another college a little farther from home. The graph shown represents the situation.
Part A:
Enter a number in search box to complete the domain and range.
Domain ___ ≤ x ≤ ___
Range ___ ≤ y ≤ ___
Part B:
Is the statement, "the graph is continuous", true or false?
Answer:
Part A:
Domain: 0 ≤ x ≤ 5
Range: 0 ≤ y ≤ 300
Part B: True
Step-by-step Explanation:
Part A:
The domain of the function represented on the graph includes all values x plotted in the x-axis, which represents the time (hrs) travelled during the tour.
The domain is [0, 5]. The journey started at 0 mins and ends at 5 mins.
Domain can be represented as 0 ≤ x ≤ 5
The range of the function includes all values on the y-axis of the function that are plotted on the graph. The range is the set of distance covered from from during the tour.
Range is [0, 300].
This can be represented as 0 ≤ y ≤ 300.
The maximum point is at the point on the graph, when x = 5, and y = 300. This implies that it took them 5 mins to cover 300 miles during the tour.
Part B:
The graph is continuous because the line of the graph has no breaking point from start to finish.
The statement is true.
