Identifying Functions Through Tables, Ordered Pairs, and Graphs

What defines a function in mathematics?

• A method where each output is linked to multiple inputs

• A process where outputs are not dependent on inputs

• A rule that assigns each input to exactly one output

• A relationship where each input has multiple outputs

What is an example of a function in a drink menu?

• Different drinks having the same price

• A drink size corresponding to multiple prices

• All drink sizes costing the same

• Each drink size having a unique price

Which scenario describes a function in a real-life context?

• A candy bar costing a consistent amount per bar

• A vending machine giving multiple items for one selection

• Prices varying for the same product

• A person having two different birthdays

How can you tell if a table represents a function?

• All y values are unique for each x value

• Each input or x value has multiple corresponding y values

• Different x values have the same y value

• Each x value is associated with exactly one y value

What would be a non-example of a function from a set of ordered pairs?

• Each pair has a unique x and y value

• Each x value maps to one y value

• One x value corresponds to two different y values

• All pairs have different y values

What does it mean if a table does not represent a function?

• Each y value is unique

• All x values have the same y value

• No x values are repeated

• Each x value maps to multiple y values

What does the vertical line test determine?

• The slope of the graph

• The maximum value of y for each x

• The number of outputs for each input

• If a graph represents a function

If a graph passes the vertical line test, what does it indicate?

• The function is linear

• The graph does not represent a function

• The graph represents a function

• There are multiple y values for one x value

In the context of functions, what is the domain?

• The set of all possible outputs

• The range of values on the graph

• The set of all possible inputs

• The maximum and minimum values of a function

What is the range in the context of functions?

• The set of all possible outputs

• The set of all inputs

• The difference between the highest and lowest values

• The total number of inputs