Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (x-value).

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

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output value is associated with exactly one input value, meaning no two different inputs produce the same output.

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 which the function is defined.

Front

What is the range of a function?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but it cannot have the same input produce different outputs.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x produces a unique output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input value is associated with more than one output value.

Front

How do you determine if a graph is a function?

Back

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