Question

the function (x^2-x+1)/(x-1) has no x-intercepts, no Horizontal Asymptotes, a vertical asymptote of x=1 and a slant asymptote of y=x? Also, does the graph look like only two "cups" one facing up and one facing down, WITHIN the asymptotes only?

Answer 1

Here's a plot. You can download free graphing software here: http://www.geogebra.org/cms/