Analyzing Domain and Range in Function Graphs

1. A graph shows the height of a plant over time. The height is measured in centimeters and time in weeks. What is the domain of this function?

• (-∞, 0)

• [0, ∞) or all non-negative real numbers

• [1, 10]

• (0, 10)

2. The graph of a car's speed over time shows that the speed increases for the first 5 minutes and then levels off. What can you say about the range of this function?

• The range of the function is all speeds below the maximum speed reached.

• The range of the function is all speeds from 0 to the maximum speed reached.

• The range of the function is all speeds from greater than 0 to the maximum speed reached.

• The range of the function is from 0 to the maximum speed only.

3. A store tracks the number of customers entering each hour. If the graph shows a peak at 3 PM, what does this indicate about the function's behavior during that hour?

• The function is decreasing at 3 PM.

• The function has a local maximum at 3 PM.

• The function is constant at 3 PM.

• The function has a local minimum at 3 PM.

4. A roller coaster's height is graphed against time. If the height never goes below 0 meters, what is the range of this function?

• [0, 100]

• [0, ∞)

• (-∞, 0)

• (0, 100)

5. The graph of a temperature change throughout the day shows a maximum temperature of 30°C at noon. What is the domain of this temperature function?

• [12, 24]

• [0, 24]

• [0, 12]

• [0, 30]

6. A graph shows the distance a runner covers over time. If the runner stops after 10 minutes, what is the domain of this function?

• [0, 10]

• [0, 20]

• [5, 15]

• [0, 5]

7. The graph of a company's profit over the years shows a steady increase. What does this tell you about the function's behavior?

• The function fluctuates without a clear trend.

• The function has a constant value.

• The function is monotonically increasing.

• The function is decreasing over time.

8. A graph displays the number of books read by students over a school year. If no student read less than 1 book, what is the range of this function?

• [1, max]

• [1, 10]

• [0, max]

• [1, 100]

9. The graph of a bicycle's speed shows fluctuations during a race. How can you analyze the function's behavior during the race?

• Consider only the starting and finishing speeds without analyzing fluctuations.

• Analyze the speed graph for peaks, troughs, and intervals of constant speed to understand fluctuations.

• Only look at the average speed for the entire race.

• Ignore the speed graph and focus on the distance covered.

10. A graph shows the amount of water in a tank over time. If the water level never exceeds 100 liters, what is the range of this function?

• [0, 50]

• [0, 200]

• [0, 100]

• [50, 100]