## Lecture 2: Domain and range of functions.

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus; its inverse operation, differentiation, is the other.Given a function f of a real variable x and an interval (a, b) of the real line, the definite integral.

Definition General definition. A function from a set to a set is a rule that associates, to each element of, a unique element of. Functions are typically denoted by lower-case or upper-case single letters, though some functions have special notations. To say that a function is from to, we write is a function. For an element of the domain, the unique element of associated with is denoted as.

Please write clear as possible. By the way, This is Calculus 1. Also I need to know Domain, range, x-intercept, y-intercept, holes, vertical asymptote, oblique asymptote, 2nd derisive, table of x and y value.

Domain and Range The domain of a function f ( x ) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set. They may also have been called the input and output of the function.).

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Please write clear as possible. By the way this is Calculus 1. Also I need to know Domain, range, x-intercept, y-intercept, holes, vertical asymptote, oblique asymptote, 2nd derisive, table of x and y value.

EXAMPLES OF DOMAINS AND RANGES FROM GRAPHS Important notes about Domains and Ranges from Graphs: Remember that domain refers to the x-values that are represented in a problem and range refers to the y-values that are represented in a problem. Sometimes it isnâ€™t possible to list all the values that x or y can be because the graph.