Can someone explain to me the basics of rational functions?
You’ll have to handle the graphing, but it’s not hard just plug in some values of x, but you should not graph until you know the asymptotes because those will be good points of reference since you know that the graph must approach those “lines.” Vertical asymptotes occur where the denominator equals zero. There are rules for horizontal asymptotes; these pages have stuff on rational equations including asymptotes: http://www.purplemath.com/modules/asymto… 13: f(x) = 1 / (x – 1) Denominator equals zero at x = 1 which is the line representing the vertical asymptote. The horizontal asymptote is y=0, you’ll see this from the rules in the link. The domain is al real numbers except x=1, represented in set-builder by {x ∈ ℝ| x≠1}. The range of any function with a vertical asymptote is all real numbers except, possibly, the horizontal asymptote. f(x) doesn’t cross the asymptote so the range is {y ∈ ℝ| y≠0} The other one
