SOLUTION: hello i need help with an equation i have been trying to do for the longest!! :-/ I have to graph the rational function: f(x)= -3x-4 over -x-3

Algebra ->  Graphs -> SOLUTION: hello i need help with an equation i have been trying to do for the longest!! :-/ I have to graph the rational function: f(x)= -3x-4 over -x-3      Log On


   

Question 921313: hello i need help with an equation i have been trying to do for the longest!! :-/
I have to graph the rational function: f(x)= -3x-4 over -x-3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this it?
+%28+-3x+-+4+%29+%2F+%28+-x+-3+%29+
If so,
+%28-%28+3x+%2B+4+%29%29+%2F+%28-%28+x+%2B+3+%29%29++=+%28+3x+%2B+4+%29+%2F+%28+x+%2B+3+%29+
If I do the division,
+%28+3x+%29+%2F+%28+x%2B3+%29+%2B+3+%2F+%28+x%2B3+%29+
+3+-+5+%2F+%28+x%2B3+%29+
-------------------
This function looks like a hyperbola offset
by the constant +3+
Here's the plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C++-5+%2F+%28+x%2B3+%29+%2B+3+%29+
Looks like asymptotes are at +y+=+3+ and +x+=+-3+