standard_description: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
problem_activity: At a local bank, when you open an account, you provide certain information that is stored in the bank's records. The table below shows the names and mailing zip codes of some of the bank's customers.
{"table": [{"_attributes": {"align": "center", "class": ["table", "table-bordered"], "style": "table-layout:Fixed; width:50%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Customer Name"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Zip Code"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Tyler Jackson"}, {"_attributes": {"style": "text-align:center"}, "_value": "70114"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Justine Goodman"}, {"_attributes": {"style": "text-align:center"}, "_value": "12084"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Tristan Manuel"}, {"_attributes": {"style": "text-align:center"}, "_value": "30311"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Vanera Caro"}, {"_attributes": {"style": "text-align:center"}, "_value": "30311"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Mia Lee"}, {"_attributes": {"style": "text-align:center"}, "_value": "20815"}]}]}]}]}
a.   Suppose
F
is the rule that takes a customer's name and provides their mailing zip code. According to the information in this table, is
F
a function? Explain your reasoning.
b.   Suppose
G
is the rule that takes a customer's mailing zip code and provides their name. According to the information in this table, is
G
a function? Explain your reasoning.
c.   If the bank is looking for a way to identify specific customers, why would using their zip code
not
be a good way to do this? What other input might the bank use instead?


aligns: no