Functions Flashcard

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

What is the definition of domain?

Back

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

Front

What is the definition of range?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that result from using the function.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input (x-value) is paired with exactly one output (y-value). If any input is paired with more than one output, it is not a function.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no two ordered pairs have the same first element (x-value) but different second elements (y-values).

Front

What is the notation for domain?

Back

Front

What is the notation for range?

Back

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for every x-value, there is a unique y-value.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If any vertical line intersects the curve at more than one point, it is not a function.