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Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- Lesson: 15:05

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,

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) $y = x^2 +2$

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

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

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

v) $y = x^3 - 2$

vi) $x^2 - y^2 = 9$

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

We have over 1360 practice questions in Third Year Maths for you to master.

Get Started Now22.1

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