Introduction to nonlinear equations

All You Need in One Place

Everything you need for better marks in primary, GCSE, and A-level classes.

Learn with Confidence

We’ve mastered the UK’s national curriculum so you can study with confidence.

Instant and Unlimited Help

24/7 access to the best tips, walkthroughs, and practice questions.

0/1
?
Examples
Lessons
  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
    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.
    Non-Linear
    Equations
    : Basically any function that is not "linear equation", such as quadratic, circle, reciprocal, exponential, etc.