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Question
anthony owns an electric car. he accidentally left it on overnight, completely draining the battery. the charger in his garage takes 8 hours to fully charge the battery. the function p(h) represents the percentage the battery has been charged after charging for h hours. what is the domain of p(h)? all whole numbers from 0 to 8 all whole numbers all real numbers greater than or equal to 0 all real numbers from 0 to 8
Step1: Understand the context
The battery - charging process starts at \(h = 0\) (when charging begins) and ends at \(h = 8\) (when it's fully charged).
Step2: Define the domain concept
The domain of a function is the set of all possible input values. Here, the input is the number of hours \(h\) of charging.
Step3: Determine the range of \(h\)
The number of hours of charging can be any fraction or whole - number value between 0 and 8 (inclusive) during the charging process. So, \(h\) can be \(0\leq h\leq8\) and \(h\) is a real number.
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all real numbers from 0 to 8