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Functions and Linear Equations - Math Problem Example

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The paper "Functions and Linear Equations" highlights that sometimes solving equations does not make sense but plotting them on graphs makes sense especially when we examine where and how they can be used. With the rates of births and deaths, we can foresee the population in the next ten years…
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Functions and Linear Equations
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Extract of sample "Functions and Linear Equations"

Functions and linear equations are made more clearly understood through graphing and they both yield lines. Functions are usually with only one unknown value which could either be the value of x or y while linear equations find the value of x and y in one equation. This then limits the values for a function where there is only a value of x for every y whereas, the linear function gives unlimited values for both x and y as one tries to solve for such values by substituting assumptions for x to get the value of y. As mentioned earlier, functions and linear equations form lines when they are plotted on graphs so that from this point of view, it is concluded that a function is a linear equation and vice versa. Functions are easily determined because the values of x and y come in ordered pairs while linear equations take the form y= mx+b where m and b are constants.    Considering the function x(x-1)=3y, it is determined that this is not a linear function because it will not yield a straight line when the values of x and y are plotted on a graph.  Read More
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