Function or not a function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

How can you determine if a relation is a function using a mapping diagram?

Back

A relation is a function if each input (x-value) is connected to exactly one output (y-value) in the mapping diagram.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function.

Front

Is the relation {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the input '1' is associated with two different outputs (2 and 3).

Front

Is the relation {(2, 3), (3, 4), (4, 5)} a function?

Back

Yes, because each input is associated with exactly one output.

Front

What does it mean for a relation to not be a function?

Back

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

Front

How can you tell if a table of values represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

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.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.