Function or Not?

Front

What is 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 any vertical line drawn through it intersects the graph at most once.

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

Can a function have the same output for different inputs?

Back

No, a function cannot have the same output for different inputs; each input must correspond to exactly one output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

Is the set of points (1,2), (2,3), (3,4) a function?

Back

Yes, because each input (x-value) has a unique output (y-value).

Front

Is the set of points (1,2), (1,3), (2,4) a function?

Back

No, because the input 1 corresponds to two different outputs (2 and 3).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Can a function be represented in multiple ways?

Back

Yes, a function can be represented as an equation, a graph, or a mapping diagram.