What are the differences among expressions, equations, and functions?
An algebraic expression is a collection of numbers, variables, and operators (addition, subtraction, multiplication, division, exponentiation, [ etc) which represent some value.
An equation is a pair of expressions which are connected by an equal sign (=). An equation states that the expression on one side of the equal sign has the same value as the expression on the other side.
A function is
a particular type of equation. A function relates the value of an independent variable, typically denoted as "x", to the value of a dependent variable, typically denoted as "y" or "f(x)" (which is shorthand notation for "function of x"). While this is very similar to the concept of an equation, a function speaks more to the idea of an input value leading to an output value.
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