Intro to Functions

Front

What is the definition of a function?

Back

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

Front

What does it mean for a graph to be a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

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 any vertical line crosses the graph more than once.

Front

What is an example of a function?

Back

An example of a function is y = 2x + 3, where each x-value has a unique y-value.

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 y^2 = x, where one x-value can correspond to two different y-values.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each input is paired with an output in a function.

Front

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

Back

A mapping is not a function if at least one input is paired with more than 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) for the function.

Front

What is the range of a function?

Back

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

Front

How can you determine if a graph is not a function?

Back

You can determine if a graph is not a function by using the vertical line test; if a vertical line intersects the graph at more than one point, it is not a function.