## marcelie one year ago for the following exercises find the x and y intercepts for the functions ... f(x)= x/x^2-x

1. campbell_st

well there are no x intercepts... looking at the denominator $x \neq 0, 1$ because $f(x) = \frac{x}{x^2 -x} = \frac{x}{x(x -1)}$ x = 0 is a point of discontinuity and x = 1 is a vertical asymptote. when you simplify you get $f(x) = \frac{1}{x - 1}$ this has a horizontal asymptote at y = 0 so looking at the y- intercept let x = 0 $y = \frac{1}{0 - 1}$ just simplify it. hope it helps

2. marcelie

why isnt there no x int

3. marcelie

oh nvm i got it lol thank you !!!