Identifying Functions

Front

What is a function in mathematical terms?

Back

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

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 vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input; it must assign exactly one output.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

An example of a function is the assignment of a student's ID number to a student.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an example of a non-function?

Back

An example of a non-function is the assignment of a student's name to multiple students.

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it assigns a unique output for every unique input, meaning no two different inputs produce the same output.

Front

What is a domain in the context of functions?

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 a range in the context of functions?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1