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# Find range of a reciprocal function given domain watch

1. Dear friends,

I cannot find the range of this reciprocal function: 1/(x+1) whose domain is
{x:x≥0, x a real number}.

I could draw the graph of this function but my confusion is if x-values are getting bigger from 0, then y-values are getting closer to 0 or approaching infinity, which means y-values are not getting bigger as x-values get bigger. Then how do I write the range?

2. (Original post by tantrik)
Dear friends,

I cannot find the range of this reciprocal function: 1/(x+1) whose domain is
{x:x≥0, x a real number}.

I could draw the graph of this function but my confusion is if x-values are getting bigger from 0, then y-values are getting closer to 0 or approaching infinity, which means y-values are not getting bigger as x-values get bigger. Then how do I write the range?

Well yes, with your function you have as so your range will be where is the maximum value that the function takes.
3. (Original post by RDKGames)
Well yes, with your function you have as so your range will be where is the maximum value that the function takes.
Thanks for the solution. Highly appreciate it.

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Updated: January 29, 2017
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