SOLUTION: Mary says that the graph of 3x^2 + 5x + 9 y = ----------- ---- x^2 + 2x - 7 will approach y = 1 as the x-

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Mary says that the graph of 3x^2 + 5x + 9 y = ----------- ---- x^2 + 2x - 7 will approach y = 1 as the x-      Log On


   



Question 1178720: Mary says that the graph of 3x^2 + 5x + 9
y = ----------------
x^2 + 2x - 7

will approach y = 1 as the x-values approach both positive and negative infinity. Is Mary correct?

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Mary says that the graph of     3x^2 + 5x + 9
                            y = ---------------- 
                                 x^2 + 2x - 7
 
 will approach y = 1  as the x-values approach both positive and negative infinity. Is Mary correct?

No. Think about it. The lead terms of both numerator and denominator become increasingly important for x going either extreme to the right or to the left...