Domain and Range

Front

What is the definition of a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

If a function has a domain of {1, 2, 3}, what are the possible x-values?

Back

The possible x-values are 1, 2, and 3.

Front

If a function has a range of {4, 5, 6}, what are the possible y-values?

Back

The possible y-values are 4, 5, and 6.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has one corresponding y-value.

Front

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

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

How do you find the domain of a graph?

Back

To find the domain of a graph, identify all the x-values that the graph covers.

Front

How do you find the range of a graph?

Back

To find the range of a graph, identify all the y-values that the graph covers.