Is it a function?

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the definition of 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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of 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

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Tags

CCSS.8.F.A.1

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where 'x' is the input and 'y' is the output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the significance of the Vertical Line Test?

Back

The Vertical Line Test is used to determine if a graph represents a function; if a vertical line intersects the graph more than once, it is not a function.

Front

What is an example of a non-function?

Back

An example of a non-function 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 difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function can have multiple outputs for the same input.

Tags

CCSS.8.F.A.1

Front

How do you find the domain of a given set of ordered pairs?

Back

To find the domain, list all the first elements (x-values) from the ordered pairs without repetition.