Domain Function Notation

Given a function in function notation form identify the domain and range using set notation interval notation or a verbal description as appropriate.

Domain function notation. In mathematics the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. Domain of f x frac sqrt x 1 x 2 4 in interval notation is 1 2 cup 2 infty. X y and is alternatively denoted as.

The letter y or f x represents the output value or dependent variable. We can also define special functions whose domains are more limited. For f x x 2 the domain in interval notation is.

However this coincidence is no longer true for a partial function. For some functions x cannot be certain values eg. The notation y f x defines a function named f.

Recall that the domain of a function is the set of possible input values x values of the function. This could be the result of for example a function with x 5 in the denominator. For example the domain of f x x is all real numbers and the domain of g x 1 x is all real numbers except for x 0.

Learn how to find the domain of rational functions. For example 1 5 u 5 10. Use u meaning union to connect parts of the domain that are separated by a gap.

F x 1 x x cannot take the value 0. 0 r indicates that you are talking about the range. Use function notation to represent a function whose input is the name of a month and output is the number of days in that month.