Question

Can somebody help me please?

Answer 1

Domain =
`(-\infty,6)\;\cup\;(6,\infty)`

Range =
`(-\infty,1)\;\cup\;(1,\infty)`

vertical asymptote is at
`x=6`

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.