Question

Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the function. Use that information to sketch a graph.

g(x) = x-5/3x-1

Answer #1

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Find the vertical asymptotes, horizontal asymptote, and x and y
intercepts of the following function and sketch a graph
f(x) = (x^2 − 4) / (x^2 − 2x − 15)

Find a rational function with x-intercepts –2 and 5, y-intercept
5, and vertical asymptotes x = 3 and x = 6. State the horizontal
asymptote of the graph of the function.

For the function f(x) = ? 3−1 ? 2−9 , find any slant asymptotes
and sketch the graph by finding any vertical asymptotes, horizontal
asymptotes, x intercepts, y intercept.

Find equations for all asymptotes of f. For each asymptote
found, state if it is horizontal or vertical. Find the coordinates
of the x- and y-intercepts of the graph of f.
f(x) = (7x − 5)(x − 1)/(x + 2)(3x + 1).

Determine the equation of the vertical asymptote and the
equation of the slant asymptote of the rational function.
f(x)=−24x2−14x−5/3x+1
The equation of the vertical asymptote
is
The equation of the slant asymptote is

5. [20 pts] For the function ?(?) = (4?−8)/(?^2−?−6) answer the
following to sketch the graph. Do not use a graphing
calculator.
a. [2 pts] Determine the domain of the function, write your
answer in interval notation:
b. [4 pts] Find the x-intercept(s), if any.
c. [2pts] Find the y-intercept, if any.
d. [2 pts] Find the vertical asymptotes, if any.
e. [2 pts] Find the horizontal asymptote(s) or slant asymptote,
if any.
f. [4 pts] Determine whether the graph...

f(x)=((2x+4)(5x+2))/((7x+8)(7x+6))
1. Find the vertical asymptote(s). If there is more than one
vertical asymptote give a list of the xx-values separated by
commas. If there are no vertical asymptotes, type in none
.
x=
2. If this function has a horizontal asymptote, give its
yy-value. If there is no horizontal asymptote, type in
none
y=
3. Find the xx-intercept(s). If there is more than one
xx-intercept give a list of the xx-intercepts separated by commas
(i.e.: (1,2),(3,4)). If there is...

1. find all vertical asymptotes of function f(x) =
In((e^2In(x))-5x+6)
2. find all x intercepts of the function
g(x)=In((e^2In(x))-3x+5)-In(2)-In(3/2)

create a rational function that has two vertical asymptotes and
a horizontal asymptote other than y = 0. Provide the equations of
your vertical and horizontal asymptotes and discuss how you know
that these are asymptotes.

Find a rational function with vertical asymptotes x=3 and x=1,
horizontal asymptotes y=2, zeros are 5,2, and -1 and y-intercept is
(0,1).

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