Answer:
Domain = [tex](-\infty,6)\;\cup\;(6,\infty)[/tex]
Range = [tex](-\infty,1)\;\cup\;(1,\infty)[/tex]
vertical asymptote is at [tex]x=6[/tex]
Step-by-step explanation:
Domain is all the x values, with an asymptote, it is just a line that approaches a number but never reaches it. The vertical asymptote if you look at x, the lines look like the come from infinity on the left and right, try to reach 6 but can't.
- So the interval notation for this is the union of all the numbers from negative infinity up to 6 but not including 6, and all the numbers from positive infinity up to 6 but not including 6.
Range is all the y values, with an asymptote, it approaches a number but never reaches it. The horizontal asymptote if you look at y, the lines look like the come from infinity on the top and bottom, try to reach 1 but can't.
- So the interval notation for this is the union of all the numbers from negative infinity up to 1 but not including 1, and all the numbers from positive infinity up to 1 but not including 1.
