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Discrete              vs             Continuous




"Jump around"                                "Smoooooooth"
  http://mathdemos.gcsu.edu/mathdemos/domainrange/domainrange.html




                                                                     1
Day 3 ­ Finding domain from a graph, restricted domains
 When your curve is continuous, there is a range of values that 
 will be included in the domain and range.  Therefore, they 
 should be expressed as an INEQUALITY.

Domain:      Input or x values       Range:  Output or y values
                                                   highest




                                 t
         t




                           igh
       lef
      st 




                             r
                         st 
  the




                     the
far




                                                   lowest
                   far




                                                                   2
Find the domain and range of the following:
1.                                2.




You try...
 3.                              4.




                                              3
7.   8.




          4
15.  Sketch a function with a domain of  ­ 3 ≤ x ≤ 5 
     and a range of ­ 4 ≤ y ≤ 8




16.  Sketch a function with a domain of  {1, 2, 3}
     and a range of {­4, ­5, ­6}




                                                        5
Examples with restricted domains...
1:  f(x) = 2x + 5              2:  g(x) = 1 + 4x ­ x2
    Domain: {x | ­3 ≤ x ≤ 6}       Domain: {x | 0 ≤ x ≤ 4}
    Find the range.                Find the range.




                                                             6

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Algebra 2 Lesson 5-3