The problem describes a graph representing temperature (in degrees Fahrenheit) as a function of time. The task is to tell the story of the temperature throughout the day, identify the maximum and minimum temperatures, and indicate where the function is increasing and decreasing.
2025/4/10
1. Problem Description
The problem describes a graph representing temperature (in degrees Fahrenheit) as a function of time. The task is to tell the story of the temperature throughout the day, identify the maximum and minimum temperatures, and indicate where the function is increasing and decreasing.
2. Solution Steps
* Story of the temperature throughout the day:
From 12 p.m., the temperature increases until 3 p.m. Then the temperature begins to decrease from 3 p.m. to 9 p.m. The temperature decreases at a slower rate until 7 p.m. From 7 p.m. to 9 p.m., the temperature decreases at a faster rate than between 3 p.m. to 7 p.m.
* Identify the maximum and minimum:
From the graph, we can observe the maximum temperature is at 3 p.m. The minimum temperature occurs at either 12 p.m. or 9 p.m. From the graph, it appears the temperature is lower at 9 p.m.
* Identify where the function is increasing and decreasing:
The function is increasing between 12 p.m. and 3 p.m.
The function is decreasing between 3 p.m. and 9 p.m.
3. Final Answer
The temperature increased from 12 p.m. to 3 p.m., reaching its maximum at 3 p.m. After 3 p.m., the temperature decreased until 9 p.m., with the minimum temperature at 9 p.m. The function is increasing between 12 p.m. and 3 p.m., and decreasing between 3 p.m. and 9 p.m.