Question

Which of the following gives the correct range for the piecewise graph?

A coordinate plane with a segment going from the point negative 5 comma negative 2 to 0 comma negative 1 and another segment going from the point 0 comma negative 1 to 2 comma 3.

−5 ≤ x ≤ 2
−5 ≤ y ≤ 2
−2 ≤ x ≤ 3
−2 ≤ y ≤ 3

Answer 1

Part A: The graph is increasing from 0 minutes to 60 minutes, constant from 60 minutes to 80 minutes, increasing from 80 minutes to 100 minutes, and decreasing from 100 minutes to 120 minutes.

Part B: The total distance Keandra travels from her home increases steadily from 0 minutes to 60 minutes, remaining constant until 80 minutes, at which point it increases again until 100 minutes, and then decreases steadily until 120 minutes.

Explanation:

What does time interval mean?

Time interval is a period of time between two points. It is usually used to measure the duration of an event or the gap between two events. Time intervals can be measured in different units, such as seconds, minutes, hours, days, weeks, months, years, and centuries.

Part A: The graph is increasing on the interval from 0 to 60 minutes, constant on the interval from 60 to 80 minutes, increasing on the interval from 80 to 100 minutes, and decreasing on the interval from 100 to 120 minutes.

Part B: The graph of total distance traveled by Keandra over time starts at 0 miles at 0 minutes and increases linearly until it reaches 75 miles at 60 minutes. The graph then levels off and remains constant at 75 miles from 60 minutes to 80 minutes. After 80 minutes, the graph begins to increase linearly again, reaching 100 miles at 100 minutes. Finally, the graph decreases in a linear fashion from 100 minutes to 120 minutes, resulting in a total distance of 75 miles.

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