Question 461084
A nonlinear equation is one in which x has a power.
For example
{{{y = x^2}}}
.
Note that a nonlinear equation is one that cannot be a straight line.
The following is the graph of
{{{y=x^2}}}
{{{graph(500,500,-10,10,-10,10,x*x)}}}
.
The following is the graph of
{{{y=x^2+x-6}}}
{{{graph(500,500,-10,10,-10,10,x*x+x-6)}}}
.
The following is the graph of
{{{y = x^3}}}
{{{graph(500,500,-10,10,-10,10,x*x*x)}}}
.
Notice that the number of curves (or changes in direction) is one less than the power of x.