for the following exercises find the x and y intercepts for the functions ...

f(x)= x/x^2-x

Question

for the following exercises find  the x and y intercepts for the functions ...

f(x)= x/x^2-x

campbell_st · Answer

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

marcelie · Answer

why isnt there no x int

marcelie · Answer

oh nvm i got it lol thank you !!!