For the given function:a) Describe an appropriate domain and range for the function.b) Make a rough sketch of a graph of the function.  c) Briefly discuss the validity of your graph as a model of the true function.(hours worked, yearly wages)

What will be an ideal response?


Answers may vary.
a) The domain of the function is the amount of hours worked per week between 10 and 60 hours and the range is yearly wages (in thousands of dollars) from $15K to $90K.
b)

c) The function should be roughly increasing. Typically the more hours someone works, the more money they make. Any time over 40 hours, usually includes an overtime wage which raises the overall yearly wages dramatically. However, many people have a fixed salary regardless of how many hours they work, so this may not represent an appropriate model.

Mathematics

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