Louise K. answered • 6d

Algebra 2 with Understanding

To find the intercepts, factor the numerator and simplify the fraction:

x^{2}-4, the numerator, is a difference of two squares, which factors into (x+2)(x-2). You can cancel out the x-2 factor with the denominator, leaving f(x) = x+2 (keeping the restraint that x is not 2). Now graph this line (y=x+2) and determine the x and y intercepts. Remember to leave a hole in the line at x=2 and graph the value (2, -7) as a separate point.

I'll leave the intercepts to you; that's Algebra 1 and I suspect you're ok with finding them. :-)