Function or Relation

Front

What is the definition of a function?

Back

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

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can include multiple outputs for a single input.

Front

What is the range of a function?

Back

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

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

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 an example of a relation that is not a function?

Back

{(1,-5), (-1,6), (1,5), (6,-3)} is not a function because the input '1' has two different outputs.

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 associated with exactly one input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a ≠ 0.