Question

Describe the vertical asymptote(s) and hole(s) for the graph of y=x−6/x^2+5x+6

Answer 1

[AI-generated answer — Bot GPT 3.5]

The function y=x−6/x^2+5x+6 has a vertical asymptote at x=-3. This is because the denominator of the fraction becomes zero when x=-3, resulting in an undefined value for the function.

There is also a hole in the graph at x=-1. This is because both the numerator and denominator of the function have factors of x+1 which cancel each other out, creating a hole in the graph at that point.