SOLUTION: this is the problem f(x)= -x/x^2+x-6 a find the horizontal, vertical, or slant asymptotes b find the x and y intercepts c graph the function - ijust submitted another problem s

Algebra ->  Functions -> SOLUTION: this is the problem f(x)= -x/x^2+x-6 a find the horizontal, vertical, or slant asymptotes b find the x and y intercepts c graph the function - ijust submitted another problem s      Log On


   

Question 35570This question is from textbook 0-618-49281-x
: this is the problem
f(x)= -x/x^2+x-6
a find the horizontal, vertical, or slant asymptotes
b find the x and y intercepts
c graph the function - ijust submitted another problem similiar to this but forgot to write this in for what i need to do with the function - sorry and thanks for the help - :) This question is from textbook 0-618-49281-x

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28-x%29%2F%28x%5E2%2Bx-6%29
Solve the denominator for the zeros.
x%5E2%2Bx-6+=+0
%28x-2%29%28x%2B3%29+=+0
The roots (zeros) are at:
x = 2
x = -3
The function is undefined at x = 2 and at x = -3
There are vertical asymptotes at these two locations.
Here's the graph:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-x%29%2F%28x%5E2%2Bx-6%29%29