Functions 8th Grade

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What is a key characteristic of a function?

Back

Every input (x-value) must have exactly one output (y-value).

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input has more than one output.

Front

How can you tell if a table represents a function?

Back

A table represents a function if there are no repeated x-values.

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 crosses the graph more than once, it is not a function.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x-value has one unique y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3), (2, 4)} is not a function because the x-value 1 has two different y-values.

Front

What does the term 'input' refer to in a function?

Back

An input is the value you provide to a function, typically represented as x.

Front

What does the term 'output' refer to in a function?

Back

An output is the value that results from applying the function to an input, typically represented as y.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.