Final Answer:
The outside temperature was decreasing over the period from
t=2 hours until t=5 hours after sunrise.
Step-by-step explanation:
To determine when the outside temperature was decreasing, we examine the graph. A decreasing temperature corresponds to a negative slope on the graph. From the given graph, we observe that the temperature starts decreasing at
�
=
2
t=2 hours after sunrise and continues to decrease until
�
=
5
t=5 hours after sunrise. During this time interval, the slope of the graph is negative, indicating a downward trend in temperature.
This conclusion aligns with the fundamental concept in calculus where the slope of a function's graph represents its rate of change. A negative slope indicates a decreasing function. In the context of temperature, this implies a decline in degrees Celsius during the specified time period. The time interval from
�
=
2
t=2 to
�
=
5
t=5 hours captures the duration over which the outside temperature exhibits a consistent decreasing trend.
Understanding the behavior of a function graph provides valuable insights into the dynamics of the system it represents. In this case, recognizing the specific time interval during which the temperature is decreasing allows for a more detailed analysis of environmental conditions and can be useful for various applications, such as weather monitoring or energy management.