Assessment: Functions #5    due: day 1 of week 13

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

      A:  { (0, 0)  (1, 5)  (2, 5)  (3, 0) }
      B:  { (0, 0)  (1, 1)  (2, 3)  (0, 0) }
      C:  { (0, 0)  (1, 2)  (1, 3)  (0, 0) }

   a.  Which of the above sets can describe a function?


      D:  { (0, 0)  (-1, 0)  (2, -1)  (1, 1) }   <-- is a function

   b.  Record the domain of D.

   c.  Record the range of D.


      H(n) is a function where H(0) = 5, H(1) = 10, H(2) = 15, H(3) = 20
      Note: the domain for H(n) is all real numbers.

   d.  H(1) / H(0) = ______

   e.  2 * H(3) = _____

   f.  The vertical-intercept for H(n) is ________.

   g.  Assume H(n) is linear. Using extrapolation, H(4) = ______

   h.  Assume H(n) is linear. Using interpolation, H(0.5) = ________
   
   i.  H(n) = 10, when 'n' equals ______

   j.  Assume H(n) is linear. Define H(n) in slope-intercept form.

   k.  Graph the H(n) function.