marcelie
  • marcelie
for the following exercises find the x and y intercepts for the functions ... f(x)= x/x^2-x
Mathematics
jamiebookeater
  • jamiebookeater
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campbell_st
  • 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
marcelie
  • marcelie
why isnt there no x int
marcelie
  • marcelie
oh nvm i got it lol thank you !!!

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