Question

F(x) = ( (x+3)/(x+1) )^{2}

find the domain of F

and any critical numbers, horizontal asymptotes, vertical asymptotes and points of inflection

Answer #1

f (x) = ex/x2
Find the Domain of f(x)
Does the function have x- or y- intercept of
f(x)?
Find the vertical and horizontal asymptotes.
Find f'(x) and f''(x) .
Find the critical points, find the interval where f(x) is
increasing and decreasing, the interval where f(x) is concave up
and down and the inflection points.

Let g (x) = [(x^2-3)/(x^3)]
(a) Determine (if they exist) the vertical and horizontal
asymptotes of g.
(b) Find the formula for g′ (x) and g′′ (x).
(c) Find (if they exist) the local extremes of g.
(d) Find (if they exist) the inflection points of g.
(e) Determine the intervals where g is increasing, and where g
is decreasing.
(f) Determine the intervals where g is concave upward, and
where g is
concave down.
(g) Plot the graph of...

f(x) = 1/(x-2) + x - 2
a) Find the vertical and horizontal asymptotes.
b) Find the intervals of increase or decrease.
c) Find the local maximum and minimum values.
d) Find the intervals of concavity and the infection points.
I need help with parts b and d. Step-by-step solutions would be
very much appreciated. Thank you for the help in advance!

consider the funtion f(x)=3x-5/sqrt x^2+1. given
f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2
a) Find the domain of f. (write in interval notation):
Df:=_____________?
b) Find the x- and y- intercepts. if any. (write your answers as
ordered pairs).
c) Find the asymptotes of f, if any. If there are not, write
why. (write answers as equations).
d) Find all of the critical numbers of f. on what intervals is f
increasing/decreasing?
show all work

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).

Let f(x)= (x-2)/(x^2-9)
A. find the x and y-intercepts
B. find the vertical and horizontal asymptote if any
C. find f'(x) and f''(x)
D. find the critical values
E. determine the interval of increasing, decreasing, and find
any relative extreme
F. determine the interval which f(x) is concave up, concave
down, and any points of inflection

Question 1
With: ?(?) = ?3 + 4 ?2
What is the domain of ??
Find the equations of all the asymptotes of ? (if any) (at the
boundaries/holes of the domain)
Find the intercepts of ? (if any)
Is the function even? Odd? If yes, what symmetry will the graph
possess?
Do a sign chart of the first derivative, indicate the intervals
where ? is increasing/decreasing, and
find all the horizontal tangents of ? (if any).
Do a sign...

what is the vertical and horizontal asymptotes of
f(x)=1+x^2\4x^2-x^4

f(x)=5x^(2/3)-2x^(5/3)
a. Give the domain of f
b. Find the critical numbers of f
c. Create a number line to determine the intervals on which f is
increasing and decreasing.
d. Use the First Derivative Test to determine whether each
critical point corresponds to a relative maximum, minimum, or
neither.

Consider the function below. y=f(x)= x/x^2+x+1
Find all critical numbers of (f), if any.
Find interval(s) on which f is decreasing
Final all local maximum/minimum points of f.

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