Introduction to nonlinear equations

Introduction to nonlinear equations

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.
Basic Concepts: Solving linear equations by graphing, Identifying functions, Introduction to linear equations
Related Concepts: Graphing parabolas for given quadratic functions, Finding the quadratic functions for given parabolas, System of quadratic-quadratic equations, Graphing quadratic inequalities in two variables

Lessons

Non-Linear
Equations: Basically any function that is not "linear equation", such as quadratic, circle, reciprocal, exponential, etc.
  • 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=x−2y = \sqrt {x - 2}

    v) y=x3−2y = x^3 - 2

    vi) x2−y2=9x^2 - y^2 = 9
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22.
Linear Equations
22.1
Introduction to linear equations
22.2
Introduction to nonlinear equations
22.3
Special case of linear equations: Horizontal lines
22.4
Special case of linear equations: Vertical lines
22.5
Parallel line equation
22.6
Perpendicular line equation
22.7
Combination of both parallel and perpendicular line equations
22.8
Applications of linear equations
Third Year Maths
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