Question

f(x) = x2+2/x-2,
find the vertical asymptotes(if they exist), horizontal asymptotes(if they exist) and axes intercept... actually i already got the vertical asymptotes... however for the horizontal i dont sure with my answer... i hope someone can help me to find the horizontal asymptotes and axes.. tQ

Answer 1

Well, a HA will happen where either the degr of num'r = degr of den'r, or degr of num'r < degr of den'r. In this case, you have degr num'r> degr den'r, so there won't be a HA.

The axes intercepts are just the points where the graph intercepts the axes.

At the x-intercept, y=0, so set the function = 0 and solve for x (HINT: a rational function will only = 0 when WHAT is true?)

At the y-intercept, x=0, so just evaluate f(0) and that is your y-intercept.