Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is related to more than one output.

Front

Identify if the following is a function: { (1, 2), (1, 3), (2, 4) }

Back

Not a Function (the input '1' is related to both '2' and '3').

Front

Identify if the following is a function: { (1, 2), (2, 3), (3, 4) }

Back

Function (each input is related to exactly one output).

Front

Which of the following is a function: { (1, 2), (2, 3), (2, 4) }?

Back

Not a Function (the input '2' is related to both '3' and '4').

Front

What is the definition of a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the definition of a range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

If a graph passes the vertical line test, what can we conclude?

Back

We can conclude that the graph represents a function.

Front

What is an example of a function in real life?

Back

An example of a function in real life is a vending machine: each button (input) corresponds to one specific item (output).