For the function
g|x|=2x/3x3-x2 ,find the domain,
x-intercepts, y-intercepts, critical numbers, extrema, holes,
vertical asymptotes, horizontal asymptotes, points of inflection.
If any of these items do not exist, explicitly state so.
For f(x)=x^2+x-2/x^2-4, determine the equation for any vertical
asymptotes, the equation for any horizontal asymptotes, and the
x-coordinates of any holes
Part A. Find the horizontal and vertical asymptotes of ?(?)=
(6x^2) / (7(x^2 + 8))
Part B. Find the horizontal and vertical asymptotes
of ?(?)= (x^2 - 3) / (x^2 + 2x - 8)
Part C. Find the horizontal and vertical asymptotes of ?(?)=
(x^2 - 49) / (3x^2 - 75)
Part D. Find the horizontal and vertical asymptotes of ?(?)=
(x^3 - 6) / (x^2 + 14x + 49)
Find the vertical asymptotes (if any) of the graph of the
function. (Use n as an arbitrary integer if necessary. If
an answer does not exist, enter DNE.)
h(x) =
x2 − 9
x3 + 3x2 − x − 3
(line in the middle of both functions is a division line)
f(x)=e^x/(x+1)
Find the vertical and horizontal asymptotes using limits. Also,
intervals of increase and decrease, local extrema. Finally, find
the intervals of concavity and points of inflection.
Find the vertical asymptote (V.A.) and the horizontal asymptote
(H.A.) of the function g(x) = 2x/ x- 5.
Justify your answer using limits.
a) The equation of the V.A. is ________ and the associated
limit is:
b) The equation of the H.A. is ________ and the associated
limit is:
For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote.f(x) = 2x/(x + 4)