Introduction to nonlinear equations

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  1. Graph the following non-linear equations and determine if the relation is also a function.

    i) y=x2+2y = x^2 +2

    ii) x=12y2x = {1 \over 2} y^2

    iii) y=2xy = {2 \over x}

    iv) y=x2y = \sqrt {x - 2}

    v) y=x32y = x^3 - 2

    vi) x2y2=9x^2 - y^2 = 9
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    Topic Notes
    Non-linear equations, as it says in its name, are any functions that are not linear, for example, quadratic, circle and exponential functions. In this lesson, we will learn how to graph nonlinear equations, and then determine whether they are a function or not. The easiest way to verify if an equation is a function, no matter if it is linear or non-linear, is by using the vertical line test.
    : Basically any function that is not "linear equation", such as quadratic, circle, reciprocal, exponential, etc.