Temperature Trends and Functions

The video tutorial explains the temperature function T(t) in New York City, measured in degrees Celsius, as a function of time after midnight. It covers graph features such as the y-intercept, positive and negative intervals, and increasing and decreasing intervals. The tutorial guides viewers through understanding how these features relate to temperature changes throughout the day, emphasizing the importance of each interval in interpreting the graph's data.

What does the function T(t) represent in the context of the video?

• The air pressure in New York City

• The humidity levels in New York City

• The temperature in New York City as a function of time

• The population of New York City over time

At what time is the temperature initially recorded as -3 degrees Celsius?

• 8 a.m.

• Midnight

• 2 p.m.

• Noon

What is the temperature at 8 hours after midnight?

• 0 degrees Celsius

• -3 degrees Celsius

• 5 degrees Celsius

• 10 degrees Celsius

What is the significance of the y-intercept in the temperature graph?

• It shows the highest temperature of the day

• It indicates the temperature at the start of the day

• It represents the average temperature

• It marks the time when the temperature is zero

During which time interval is the temperature above zero degrees Celsius?

• From 2 a.m. to 2 p.m.

• From 8 a.m. to 8 p.m.

• From 8 p.m. to midnight

• From midnight to 8 a.m.

What does a positive interval in the temperature graph indicate?

• The temperature is constant

• The temperature is below zero

• The temperature is decreasing

• The temperature is above zero

What does a negative interval in the temperature graph signify?

• The temperature is at its maximum

• The temperature is constant

• The temperature is below zero

• The temperature is above zero

Between which times does the temperature increase?

• 2 a.m. to 2 p.m.

• 8 a.m. to 8 p.m.

• Midnight to 8 a.m.

• 2 p.m. to midnight

What is the role of an increasing interval in the temperature graph?

• It marks the time of day

• It indicates when the temperature is decreasing

• It shows when the temperature is constant

• It highlights when the temperature is increasing

What is the temperature trend from 2 a.m. to 2 p.m.?

• The temperature fluctuates

• The temperature increases

• The temperature remains constant

• The temperature decreases