function

Front

Is this a function?

Back

A function is a relation where each input has exactly one output. If an input corresponds to more than one output, it is not a function.

Front

Function or not a function?

Back

A function is a specific type of relation where each input is paired with one and only one output.

Front

The graph of a function must pass the ____________ line test.

Back

The graph of a function must pass the VERTICAL line test, meaning that no vertical line can intersect the graph at more than one point.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

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 which the function is defined.

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

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

Back

A function is one-to-one if it never assigns the same output to two different inputs.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically 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, b, and c are constants.