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Jamilla was moving to a new city. She researched the rates charged by the local utility company for water. She found the listing of charges below. She expects that her family may use up to cubic feet of water each month.

  • monthly service fee

  • First cubic feet of water used: per cubic feet, or fraction thereof

  • After the first cubic feet: per cubic feet, or fraction thereof

  1. Sketch a graph of the cost of Jamilla’s possible water usage in one month. Be sure to consider what the cost would be for partial units such as or cubic feet of water.

    This will be a step graph. What is the cost if no water is used, but there is service?

    When sketching this graph, note that the price jumps from to after cubic feet of water is used.

  2. Is this graph a function? Why or why not?

    For each -value, is there exactly one -value?

  3. What are the domain and range of this graph?

    Domain refers to the possible -values, and range refers to the possible -values.