[Answer] Consider the function represented by the equation y – x – 4 = 0. What is the equation written in function notation with x as the independent variable?

Answer: f(x) = x + 4
Consider the function represented by the equation y – x – 4 = 0. What is the equation written in function notation with x as the independent variable?

Wed Feb 19 2003 13:30:00 GMT-0500 (Eastern Standard Time) · Intuitively a function is a process that associates each element of a set X to a single element of a set Y .. Formally a function f from a set X to a set Y is defined by a set G of ordered pairs ( x y ) such that x ∈ X y ∈ Y and every element of X is the first component of exactly one ordered pair in G. In other words for every x in X there is exactly one element y …

In general an algebraic equation or polynomial equation is an equation of the form = or = where P and Q are polynomials with coefficients in some field (e.g. rational numbers real numbers complex numbers).An algebraic equation is univariate if it involves only one variable .On the other hand a polynomial equation may involve several variables in which …

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In mathematics a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Parametric equations are commonly used to express the coordinates of the points that make up a geometric object such as a curve or surface in which case the equations are collectively called a parametric representation or parameterization …

A differential equation can be homogeneous in either of two respects.. A first order differential equation is said to be homogeneous if it may be written ( ) = ( ) where f and g are homogeneous functions of the same degree of x and y . In this case the change of variable y = ux leads to an equation of the form = () which is easy to solve by integration of the two members.

An algebraic function is a function that satisfies a polynomial equation whose coefficients are themselves polynomials. For examp…

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