function

Front

What is a function?

Back

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

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

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function because each input has a unique output.

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, it is not a function because the input '1' has 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 the function.

Front

What is the range of a function?

Back

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

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 value to two different domain elements.

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.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3)} is a non-function because the input '1' has two outputs.