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 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

Which of the following is a function? (3,4), (3,5), (4,5)

Back

Yes, it is a function because each input (first number) is unique.

Front

Which of the following is not a function? (2,3), (2,5), (3,4)

Back

It is not a function because the input '2' is related to two different outputs (3 and 5).

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input corresponds to exactly one output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example is {(1,2), (1,3)}, where the input '1' has two different outputs.

Front

How can you tell if a graph is a function?

Back

You can tell if a graph is a function by using the vertical line test.

Front

What is the domain of a function?

Back

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