xplain how the graph of the function f(x)=1/x+6 can be obtained from the graph of y=1/x.  Then graph f and give the​ (a) domain and​ (b) range. Determine the largest open intervals of the domain over which the function is​ (c) increasing or​ (d) decreasing. See image for accurate answer format.

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A: I am attaching image so that you understand each and every step.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.