Identify Functions, Domain, and Range

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a table, or a graph.

Front

What is the domain of 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 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

How do you find the domain from a table of values?

Back

To find the domain from a table, list all the unique x-values from the ordered pairs.

Front

How do you find the range from a table of values?

Back

To find the range from a table, list all the unique y-values from the ordered pairs.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where x is the input and y is the output.

Front

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

Back

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

Front

What is a vertical line test?

Back

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

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input values (x) and output values (y) of the function.

Front

How can you identify the domain from a graph?

Back

To identify the domain from a graph, look for all the x-values that the graph covers.