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Consider the function g(x)=x/x-7.

a) Determine an equation for the vertical asymptote.

b) State the domain.

c) Determine an equation for the horizontal asymptote.

d) State the range.

e) Sketch the function. ( i will do it)

f) Summarize the increasing and decreasing intervals.

g) Compare the slopes of the tangents at the points where

i) x=7.5 and x=20
ii) x=6.5 and x=-20

Do everything for me someone please. Do all the steps please. Thank you, Thank you...

If you can sketch the curve, you should be able to answer all the questions.

(a) vertical asymptote is where the denominator is zero: x=7
(b) domain is all reals except x=7
(c) y=1
(d) all reals except y=1
(e) do it
(f) look at the graph
(g) y' = -7/(x-7)^2
so plug in the x values you need.

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