Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What is the definition of a function?

Back

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

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 relation to be a function?

Back

A relation 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 vertical line test?

Back

The vertical line test is a method used to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one, meaning each output is produced by exactly one input.

Front

How do you find the value of x for a given f(x)?

Back

To find the value of x for a given f(x), set the function equal to the desired output and solve for x.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What is the difference between an open interval and a closed interval?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.