Sketch the graph of `f(x) = (2x+1)/(x-1)`. Label the axis intercepts with their coordinates and label any asymptotes with the appropriate equation. (4 marks)
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| `(2x+1)/(x-1)` | `=(2x-2+3)/(x-1)` | |
| `=(2(x-1)+3)/(x-1)` | ||
| `=2 + 3/(x-1)` |
COMMENT: Manipulation of the equation (as shown) makes graphing much easier.
`text(Asymptotes:)\ \ x = 1,\ \ y = 2`
`text(As)\ \ x->oo,\ \ y->2(+)`
`text(As)\ \ x->-oo,\ \ y->2(-)`
`text(As)\ \ x->-1 (-),\ \ y->-oo`
`text(As)\ \ x->-1 (+),\ \ y->oo`