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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 this situation.

Michael’s family was traveling to visit prospective colleges. They drove to the closest-example-1

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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

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.

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