SOLUTION: Sketch the graph of the function defined by f(x)=(1)/(x-3). Give the equation of it's vertical asymptote.

Algebra ->  Graphs -> SOLUTION: Sketch the graph of the function defined by f(x)=(1)/(x-3). Give the equation of it's vertical asymptote.      Log On


   

Question 204384: Sketch the graph of the function defined by f(x)=(1)/(x-3). Give the equation of it's vertical asymptote.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Graph:
f%28x%29+=+1%2F%28x-3%29
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C1%2F%28x-3%29%29
The asymptote occurs at the x-coordinate whose value would make the function, f%28x%29+=+1%2F%28x-3%29 undefined and this would occur at x = 3 because this would make the denominator of the function equal to zero.
So the asymptote equation is:
highlight%28x+=+3%29