Determine whether each function is continuous or discontinuous at the following scenarios and explain why.
(a) The temperature as a function of time at a specific area.
The function is continuous since the temperature changes with respect to time proportionally.
(b) The temperature as a function of time due west from Oklahoma City at a specific time.
The function is continuous since the temperature changes with respect to distance proportionally.
(c) The altitude above sea level as a function of distance due west from Oklahoma City.
The function is discontinuous since the altitude may increase abruptly up to a certain height with respect to the distance.
(d) The fare on a taxi as the function of the distance traveled.
The function is discontinuous since the cost of a taxi ride inccrements on a certain value with respect to the distance.
(e) The Light's current in the circuit as a function of time.
The function is discontinuous because when you turn the light on, the current jumps on a certain value but when you turn it off, the current return to its initial value .
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