Relations and Functions

Front

What is a relation in mathematics?

Back

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

Tags

CCSS.8.F.A.1

Front

What is a function?

Back

A function is a special type of relation where each input is associated with exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) that a function can produce.

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 it is not a function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and has a constant rate of change.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and has a variable rate of change.

Tags

CCSS.8.F.A.3

Front

What does it mean for a function to have a constant rate of change?

Back

It means that for every unit increase in the input (x), the output (y) increases by a fixed amount.

Tags

CCSS.HSF-LE.A.1B

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the input and output of a function.

Front

What is the difference between a function and a relation?

Back

All functions are relations, but not all relations are functions. A function has a unique output for each input.

Tags

CCSS.8.F.A.1