Which of the following are continuous functions? Selected all that apply.?

Which of the following are continuous functions? Selected all that apply.

Answer 1

The temperature at a specific location as a function of time.
The temperature at a specific time as a function of the distance due west from New York City.
The altitude above sea level as a function of the distance due west from New York City.
The current in the circuit for the lights in a room as a function of time.

Source(s): .

Answer 2

The temperature at a specific location as a function of time.
The temperature at a specific time as a function of the distance due west from New York City.
The current in the circuit for the lights in a room as a function of time.

The first two deal with temperature, its continuous in both cases because temperature cannot change in an instant. The current is also continually circulating through the circuit without breaks (until you turn it off).

Altitude above sea level can have jump discontinuity at a cliff, or removable discontinuity at very deep hole. The cost of a taxi can have jump discontinuity if you’re not moving (The meter runs as the car uses gas, not based on distance traveled, the cost still raises if you make a stop).

Source(s): webassign.net

Answer 3

The temperature at a specific location as a function of time.
The temperature at a specific time as a function of the distance due west from New York City.

Those are the only two that will change at a gradual rate without skipping values.

Answer 4

Which of the following are continuous functions? Selected all that apply.

The temperature at a specific location as a function of time.
CONTINUOUS…each time can have only one temp

The temperature at a specific time as a function of the distance due west from New York City.
NOT CONTINUOUS…graph has only one point

The altitude above sea level as a function of the distance due west from New York City.
NOT CONTINUOUS…graph has only one point

The cost of a taxi ride as a function of the distance traveled.
NOT CONTINUOUS…only defined for positive values

The current in the circuit for the lights in a room as a function of time.
CONTINUOUS…each time can have only one amperage measurement

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