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Math Help - Which of the following are continuous functions?

  1. #1
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    Which of the following are continuous functions?

    Which of the following are continuous functions? (Select all that apply.)

    (a)The temperature at a specific location as a function of time.
    (b)The temperature at a specific time as a function of the distance due west from New York City.
    (c)The altitude above sea level as a function of the distance due west from New York City.
    (d)The cost of a taxi ride as a function of the distance traveled.
    (e)The current in the circuit for the lights in a room as a function of time.
    (f)None of these.

    i don't understand how to interprete the wording
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  2. #2
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    Quote Originally Posted by plstevens View Post
    Which of the following are continuous functions? (Select all that apply.)

    (a)The temperature at a specific location as a function of time.
    (b)The temperature at a specific time as a function of the distance due west from New York City.
    (c)The altitude above sea level as a function of the distance due west from New York City.
    (d)The cost of a taxi ride as a function of the distance traveled.
    (e)The current in the circuit for the lights in a room as a function of time.
    (f)None of these.

    i don't understand how to interprete the wording
    The problem is asking to identity which of these functions have no breaks in their graphs. They slowly change into the next value without jumping (or skipping) any numbers.

    (a) This is continous because if you are looking at the temperature in a room on a thermometer it does not just suddenly jump to a new temperature. But rather it gradually changes.

    The other ones are almost similar.

    (d) This is not continous. Because you pay 2 dollars to get in, and ever mile you add .50 cents (for example). Thus, the change from one price to another is not gradual. Rather it skips values.
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