Identifying Functions

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two different ordered pairs have the same first element.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What does it mean if a function has no association?

Back

If a function has no association, it means that there is no discernible relationship between the input and output values.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is related to exactly one input, and no two inputs map to the same output.

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 polynomial function of degree two, typically in the form y = ax^2 + bx + c, which graphs as a parabola.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that the function can produce.

Front

What is a mapping diagram?

Back

A mapping diagram is a visual representation of a function that shows how each element of the domain is paired with an element of the range.