options: Analyze functions using different representations.

Prove and apply trigonometric identities.

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Interpret expressions for functions in terms of the situation they model.

Build a function that models a relationship between two quantities.

Extend the domain of trigonometric functions using the unit circle.

Understand the concept of a function and use function notation.

Build new functions from existing functions.

Interpret functions that arise in applications in terms of the context.
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?


correct_option_index: 4