The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function .
Is C continuous at ?

Question

The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function  .
Is C continuous at  ?

Quizplus · Accepted Answer

The continuity of a function at a point requires that the limit of the function as x approaches that point exists and is equal to the value of the function at that point. Since the function given is a formula for a monthly charge, it is defined for all values of x, including x=1000. Therefore, there is no point of discontinuity at x=1000, and the function is continuous at that point.

The Monthly Charge in Dollars for X Kilowatt-Hours (KWh) of Electricity