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Graph of a Function and the Domain and Range Connection

4.13.5 Graph of a Function and the Domain and Range Connection

4.13.5 • Graph of a Function and the Domain and Range Connection

Cool Down

The function WW gives the temperature, in degrees Fahrenheit, of a pot of water on a stove tt minutes after the stove is turned on. After 30 minutes, the pot is taken off the stove.

The graph of the function is shown.

Line graph showing temperature (degrees Fahrenheit) rising from 75 to over 200 between 0 and 10 minutes, staying constant until 15 minutes, then decreasing back to 100 by 30 minutes.
1.

Is 250 in the range of function WW? Explain how you know.

Compare your answers:

No, 250 is not in the range. The highest temperature is 212 degrees Fahrenheit.

2.

Describe the range of the function.

Compare your answers:

The range is all values between 75 and 212, the lowest and the highest temperature; 75≤y≤212.75≤y≤212.

3.

Does W(t)=0W(t)=0 have a solution? Explain how you know.

Compare your answers:

No, a solution to this equation would be the time when the temperature is 0 degrees Fahrenheit, which is never the case.