Relations and Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Tags

CCSS.8.F.A.1

Front

What is the definition of a relation?

Back

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

Tags

CCSS.8.F.A.1

Front

What is the difference between a function and a relation?

Back

A function is a specific 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-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) that a function can produce.

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does the mapping {(0, 1), (1, 2), (2, 2), (3, 4)} represent?

Back

It represents a relation where each input (0, 1, 2, 3) is paired with an output (1, 2, 2, 4).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What is an example of a non-function relation?

Back

An example is the relation {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the significance of the range in a function?

Back

The range indicates all the possible outputs of a function, which helps in understanding the behavior of the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1