Identifying Functions

Front

What is a function in mathematics?

Back

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

Tags

CCSS.8.F.A.1

Front

How can you identify if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (input) with different second elements (outputs).

Tags

CCSS.8.F.A.1

Front

What does it mean for an input to have multiple outputs in a relation?

Back

If an input has multiple outputs, the relation is not a function.

Tags

CCSS.8.F.A.1

Front

Given the ordered pairs {(2, 3), (3, 4), (2, 5)}, does this represent a function?

Back

No, because the input '2' corresponds to two different outputs (3 and 5).

Tags

CCSS.8.F.A.1

Front

Given the ordered pairs {(1, 2), (2, 3), (3, 4)}, does this represent a function?

Back

Yes, each input corresponds to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is connected to its output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

In a mapping diagram, what indicates that a relation is a function?

Back

Each input must connect to only one output.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if 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 the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.