Problem

For \(E(m)~=~3\sqrt{m~-~5}~+~4\), where \(m\) is months after renovation and \(E\) is energy savings in dollars per day, state the endpoint with units, interpret the input boundary and output extremum, and give the domain and range.

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Endpoint: (5 months, 4 dollars per day). Input boundary: earliest month m=5. Output extremum: minimum savings 4 dollars per day. Domain: [5,∞) months. Range: [4,∞) dollars per day.

Endpoint: (5 months, −4 dollars per day). Input boundary: earliest month m=5. Output extremum: minimum savings −4 dollars per day. Domain: [5,∞) months. Range: [−4,∞) dollars per day.

Endpoint: (5 months, 4 dollars per day). Input boundary: latest month m=5. Output extremum: maximum savings 4 dollars per day. Domain: (−∞,5] months. Range: (−∞,4] dollars per day.

Endpoint: (−5 months, 4 dollars per day). Input boundary: earliest month m=−5. Output extremum: minimum savings 4 dollars per day. Domain: [−5,∞) months. Range: [4,∞) dollars per day.

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For \(E(m)~=~3\sqrt{m~-~5}~+~4\), where \(m\) is months after renovation and \(E\) is energy savings in dollars per day, state the endpoint with units, interpret the input boundary and output extremum, and give the domain and range.

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