A relation is anything on a cartesian plane (a graph).
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A function is a relation where one variable specifies a single value of another variable. Presenting relation and function can be done different ways including verbal, numerical, algebraic, and graphical.
Yes. That is the definition of an algebraic expression.
Algebra is a branch of mathematics concerning the study of structures, relation and quantity. Together with geometry, analysis, combinatorics and number theory, Algebra is one of the main branches of mathematics.
Algebraic expressions are terms that do not include an equality sign
They are two terms of an algebraic expression.