Answer:
The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.
Step-by-step explanation:
Sine function is a bounded function whose range is between -1 and 1. The lowest average rate of change in temperature occurs when sine function is equal to 1 and the highest when this function is equal to -1. Then, the minimum and maximum average rate of changes in temperature are:
Minimum
[tex]f_{min} = -19 -3[/tex]
[tex]f_{min} = -22[/tex]
Maximum
[tex]f_{max} = 19-3[/tex]
[tex]f_{max} = 16[/tex]
The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.
