Page 83 - Math Course 3 (Book 1)
P. 83

Using Functions




               Real World Example                                 Ordered Pairs and Tables as Functions

                 BUSINESS                                          Determine whether the graph is a function. Explain.
                 The table shows the number of boxes made.
                    Number of hours      Number of boxes

                           0                     0

                           10                  3000
                           20                  6000

                           30                  9000

                 Do these data represent a function? Explain.      A. Yes; it passes the vertical line test.
                                                                   B. Yes; each y value is paired with two x values.
                                                                   C. No; it does not pass the vertical line test.
                               Yes; for each 10 hours, only one
                   Answer                                          D. cannot be determined without specific ordered
                                  amount of boxes is made.
                                                                        pairs
                 Describe how box production is related to hours
                 of operation.                                       Answer
                                                                  Real World Example
                                   As the number of hours
                   Answer      increases, the number of boxes
                                    produced increases.            BUSINESS
                                                                   The table shows the number of chairs made. Do
                                                                   these data represent a function? Explain.

                                                                      Number of hours       Number of chairs
                Your Turn!                                                    0                    120

                                                                              10                   240
                Ordered Pairs and Tables as Functions
                                                                              20                   360
                Determine whether each relation is a function.                30                   480
                Explain. {(2, 5), (4, –1), (3, 1), (6, 0), (–2, –2)}  A. Yes; each domain value is paired with only one
                                                                        range value.
                A. Yes; each x value is paired with only one y value.  B. Yes; there are two range values for one domain
                B. No; –2 is in the domain and in the range.            value.
                C. No; 2 in the domain is paired with 5 and –2 in   C. No; there is one range value for each domain
                     the range.                                         value.
                D. no; not a relation                              D. No; a domain value is paired with two range
                                                                        values.


                   Answer                                            Answer
                                                                   The table shows the number of chairs made.
                                                                   Describe how chair production is related to hours
                    x     3     1     –1    –3     1    –5         of operation.
                    y     5     4     3     –4     2     1        A. As hours decrease, the number of chairs
                                                                       increases.
                A. Yes; each x value is paired with only one y value.  B. As hours increase, the number of chairs
                B. No; 1 is in the domain and in the range.            increases.
                C. No; 1 in the domain is paired with 4 and 2 in the   C. As hours increase, the number of chairs
                     range.                                            decreases.
                D. no; not a relation                             D. Chair production is not related to hours of
                                                                       operation.
                   Answer
                                                                     Answer

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