Question

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

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

Answer 1

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

Answer 2

why isnt there no x int

Answer 3

oh nvm i got it lol thank you !!!