Relations, Functions, Domain and Range

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with 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

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Front

What does it mean to shade above a line in a graph?

Back

Shading above a line indicates that the solution set includes all points where the y-value is greater than the y-value of the line.

Front

What does it mean to shade below a line in a graph?

Back

Shading below a line indicates that the solution set includes all points where the y-value is less than the y-value of the line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set, while a dashed line indicates that points on the line are not included.

Front

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 2(0) + 3 = 3.

Front

If f(x) = 2x + 3, what is f(5)?

Back

f(5) = 2(5) + 3 = 13.