Identifying Functions Review

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

What are the inputs of a function called?

Back

Inputs are called the domain of the function.

Front

What are the outputs of a function called?

Back

Outputs are called the range of the function.

Front

Which of the following is NOT a function: {(1,2), (2,3), (1,4)}?

Back

This is NOT a function because the input '1' has two different outputs (2 and 4).

Front

What is the domain of the function f(x) = x^2?

Back

The domain is all real numbers, as any real number can be squared.

Front

What is the range of the function f(x) = x^2?

Back

The range is all non-negative real numbers (y ≥ 0).

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no x-value is repeated with a different y-value.

Front

What does it mean for a relation to be a function?

Back

It means that each input is associated with exactly one output.

Front

If a table has the following pairs: (1,2), (2,3), (3,4), does it represent a function?

Back

Yes, it represents a function because each input has a unique 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.