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# the range of a function watch

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1. find the range of f(x)= (2x+5)/ (x-3), XER, x≠3

How do i start answering this question?
2. (Original post by man111111)
find the range of f(x)= (2x+5)/ (x-3), XER, x≠3

How do i start answering this question?
so you can start by making a sketch... you need the asymptotes & intercepts on the axes...
3. (Original post by the bear)
so you can start by making a sketch... you need the asymptotes & intercepts on the axes...
can i do this question without a sketch
4. sketch ftw
5. (Original post by man111111)
can i do this question without a sketch
ofc you can but a sketch will help. You already know the vertical asymptote from the question. You can find the horizontal asymptote by seeing what happens as x tends to +-infinity. The function has the shape of a typical rational function .

The range will then be all real values except the horizontal asymptote y value

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Updated: February 11, 2018
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