Question 149337
 {{{drawing( 300, 300, -10, 10, -10, 10,grid( 1 ),circle( -2, 0, .3 ),graph( 300, 300, -10, 10, -10, 10, (x^2-4)/(x-2))) }}} 
The circle at x=-2 signifies that no value for f(x) is given there.
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Algebraically, what's going on is,
{{{(x^2-4)=(x+2)(x-2)}}}
So when you do the division,
{{{(x^2-4)/(x-2)=(x+2)(x-2)/(x-2)}}}
{{{(x^2-4)/(x-2)=x+2}}}
The graph looks like the line, {{{y=x+2}}}, except at {{{x=-2}}} where it is undefined, because of division by zero.