Relations, Functions, and Real-World Graphs

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

What does the vertical line test determine?

Back

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

Front

What is a function?

Back

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

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What is an example of a function?

Back

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

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.

Front

What does it mean if a function is not defined for certain x-values?

Back

If a function is not defined for certain x-values, those values are excluded from the domain.