Lesson 6 and 8 Functions Review

Front

What is a function?

Back

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

Front

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

Back

A graph is not a function if any vertical line drawn intersects the graph at more than one point.

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if a vertical line crosses the graph more than once.

Front

If the x-value 11 has two different y-values, what can we conclude?

Back

The relation is not a function.

Front

What is an example of a function?

Back

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

Front

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

Back

An example of a relation that is not a function is the relation {(1, 2), (1, 3), (2, 4)}.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each x-value corresponds to only one y-value.

Front

Can a graph be a function if it has a loop?

Back

No, a graph with a loop fails the vertical line test and is not a function.

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.