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A function is a relationship between a set of inputs and a set of outputs. The key

requirement is that each allowable input relates to exactly one output value.

Equations are often used to define a function. That is, the relationship is given by a rule that tells how to find the output from any given input.

For example f(x)= 7x-2 says in words, given an input number, say x, multiply it by 7 and subtract 2, to get the associated output.

7x - 2 is called a linear expression because its highest power is one (and a function defined by a linear expression is called a linear function. )

A linear equation is an equation between two linear expressions.

Example: 2x + 3 = 7x - 2.

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Q: What is the difference between a function and linear equation?
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Related questions

Is there a difference between linear equations and functions?

A linear equation IS a function. A function can look like X2+X+C, or X3+0, or X+Y+C, or many other ways. The function X+Y+C is a function in two variables, and can be a linear equation.


Is a linear equation the same as a function?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


Difference between linear consumption function and non linear consumption function?

I have no idea. However, in theory there is a difference.


Is linear function the same as linear equations?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


Do a linear equation and a function share the same definition?

No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.


Is there an instance that a linear equation is not a function?

There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.


What is the difference between a linear function and a quadratic equation?

A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.


Why are linear equation named linear equation?

Y = 5X - 3It form a linear function; a line.


What is the difference between rational function and linear function?

t is the diffrence between a rational funcrion and a linerar and polynomial function


Difference between function and objective function?

The linear function Z=c1x1+c2x2+c3x3+..........+cnxn which is to minimized or maximized is called Objective Function of general Linear Programming Problem.The innequalities of LPP are called constraints.


Is there instance in which a linear equation is not a function?

yes, a vertical line is linear, but it's not a function.


What best describes a linear function?

A linear function is a function, or equation, that when graphed, will form a straight line.