Assessment: Table Defined Function    due: Tuesday, 11/14/2017

Do not lose this assessment. Do all your math on your own paper.

The following table can be used to determine how many days are in a specific month for non-leap years.
   month       1   2    3   4   5   6   7   8   9   10   11   12
   # days     31  28   31  30  31  30  31  31  30   31   30   31

The number of days in a month of a non-leap year is a function of the month. In other words, the number of days in a month in a non-leap year depends on the month.

   f(m) = value obtained from the "month-to-# days" table

      m:  an integer that represents the month (1=Jan, 2=Feb, etc.)
   f(m):  the number of days in month 'm'

   a.  Record the domain for  f(m)  using interval notation.
   b.  Record the range for  f(m).

   c.  Explain why  f(0)  is not defined.

   d.  f(4) = ____

   e.  f(2 * 2) + f(10) = ____

   f.  No or Yes:  During leap years, the number of days in the 
                   month of February is  f(2)+1.

   g.  No or Yes:  f(m) is a constant function.

   h.  Explain why  f(m)  is not a linear function.

   i.  f(7) written as an ordered-pair is ______________.

   *** MAT090/MAT091/MAT092 classes can skip j-l. ***

   j.  No or Yes:  f(m)  is a one-to-one function.  Explain your answer.

   k.  No or Yes:  f(m)  has an inverse function.  Explain your answer.

   l.  No or Yes:  The horizontal line test can be used to test if a 
                   graph can represent a one-to-one function.