A research scientist measures the outside temperature, in degrees Fahrenheit, at various
times throughout a 24-hour period and records her findings in the graph below. In this
real-world function, the hours represent the input values, and the temperature represents
the output values. Use the graph to identify the range of the function. Write your answer
as a set of ordered pairs. Then write a sentence to explain what the range represents in
this function.
I did the table, from 2 to 7, 65-80=the temperature rose from 15 degrees.
from 7 to 12 , 80-85= the temperature rose by 5 degrees.
from 12 to 6 pm, 85-75= the temperature lowered by 10.
from 6 pm to 10 pm, 75-60= the temperature lowered by 15 degrees.
I don't get the range.
The range of a function represents the set of all possible output values of that function. In this case, the output values are the temperatures recorded by the research scientist. To determine the range, we need to look at the graph and identify the highest and lowest temperature values.
Looking at the graph, we can see that the highest temperature recorded is 85 degrees Fahrenheit, and the lowest temperature recorded is 60 degrees Fahrenheit. Therefore, the range of the function can be expressed as a set of ordered pairs: {(hour, temperature) | temperature ∈ [60, 85]}.
In simpler terms, the range represents all the possible temperatures that were recorded by the research scientist throughout the 24-hour period.