Determine the domain of the following function:
A function describing the charging of a computer battery during use.
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Determine the domain of the following function:
A function describing the charging of a computer battery during use.
According to logic, the computer's battery during use will always decrease since the battery serves as an energy source for the computer.
Therefore, the domain that suits this function is - always decreasing.
Always decreasing
Is the function in the graph decreasing?
Think about energy flow! The computer needs energy to run, so it draws power from the battery. Even if plugged in, using the computer while charging typically means net energy loss because usage often exceeds charging rate.
Great question! Even when plugged in, most computers use more energy than the charger provides during heavy use. The battery still decreases overall, just more slowly than without charging.
Pure math functions can do anything, but real-world applications have physical constraints! A battery function must follow energy conservation laws - you can't create energy from nothing.
Theoretically, if charging rate exactly equals usage rate, but this is extremely rare in practice. The question asks about during use, which typically means active computing that drains the battery.
It means for any time interval during computer use, the battery charge at the end is less than at the beginning. The function has a negative slope throughout its domain.
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