Warm-Up - Function Definition

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but also includes any pairing of inputs and outputs.

Front

What is the vertical line test?

Back

A method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

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

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

Give an example of a function.

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}.

Front

Give an example of a relation that is NOT a function.

Back

An example is the relation {(1,2), (1,3), (2,4)}.

Front

What is an ordered pair?

Back

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

Front

What happens if you add an ordered pair with a duplicate x-value to a function?

Back

It will no longer be a function, as it will create multiple outputs for the same input.

Front

What is the definition of a domain in a function?

Back

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