Identify Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

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 at more than one point, it is not a function.

Front

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

Back

If a graph is not a function, it means that at least one input corresponds to multiple outputs.

Front

Can a function have negative values?

Back

Yes, a function can have negative values as long as each input has only one output.

Front

What is the purpose of the Horizontal Line Test?

Back

The Horizontal Line Test is used to determine if a function is one-to-one, meaning each output corresponds to only one input.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

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 each positive x value corresponds to two y values.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is paired with exactly one input.

Front

How can you tell if a graph represents a function?

Back

You can tell if a graph represents a function by using the Vertical Line Test.

Front

What is the definition of input in a function?

Back

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