Consider the function f(x)= 1 + 1/x - 1/x2
Find the domain, the vertical and horizontal...
Consider the function f(x)= 1 + 1/x - 1/x2
Find the domain, the vertical and horizontal asymptotes,
the intervals of increase or decrease, the local minimum and
maximum values, the intervals of concavity and the inflection
points.
Consider the function
f(x)=
x3
x2 − 1
Express the domain of the function in interval notation:
Find the y-intercept: y=
.
Find all the x-intercepts (enter your answer as a
comma-separated list): x=
.
On which intervals is the function positive?
On which intervals is the function negative?
Does f have any symmetries?
f is even;f is
odd; f is periodic;None of
the above.
Find all the asymptotes of f (enter your answers as
equations):
Vertical asymptote (left):
;
Vertical...
Consider the function f(x) =
1/x2−5x+ 6
i. Find the equations of the vertical asymptotes.
ii Find the equations of the horizontal asymptotes.
Please explain the horizontal asymptotes clearly
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.
5. Consider the function f(x) = -x^3 + 2x^2 + 2.
(a) Find the domain of the function and all its x and y
intercepts.
(b) Is the function even or odd or neither?
(c) Find the critical points, all local extreme values of f, and
the intervals on which f is increasing or decreasing.
(d) Find the intervals where f is concave up or concave down and
all inflection points.
(e) Use the information you have found to sketch...
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the
domain of the function in interval notation: Find the y-intercept:
y= . Find all the x-intercepts (enter your answer as a
comma-separated list): x= . Does f have any symmetries? f is even;
f is odd; f is periodic; None of the above. Find all the asymptotes
of f (enter your answers as comma-separated list; if the list is
empty, enter DNE): Vertical asymptotes: ; Horizontal asymptotes: ;
Slant asymptotes: . Determine the...
Consider the function f(x)=arctan [(x+6)/(x+5)]
Express the domain of the function in interval notation: Find
the y-intercept: y= . Find all the x-intercepts (enter your answer
as a comma-separated list): x= . Does f have any symmetries? f is
even; f is odd; f is periodic; None of the above. Find all the
asymptotes of f (enter your answers as comma-separated list; if the
list is empty, enter DNE): Vertical asymptotes: ; Horizontal
asymptotes: ; Slant asymptotes: . Determine the...
please graph the function f(x)=(x-2)/(x-1) by
finding
the domain
the x and y intercepts
the vertical asymptotes
the horizontal asymptotes
the intervals of increase and decrease
the local mins/max
the intervals of concavity
the inflection point(s) as an ordered pair
Consider the function. f(x) = x^2 − 1, x ≥ 1
(a) Find the inverse function of f.
f ^−1(x) =
(b) Graph f and f ^−1 on the same set of coordinate axes.
(c) Describe the relationship between the graphs. The graphs of
f and f^−1 are reflections of each other across the line ____answer
here___________.
(d) State the domain and range of f and f^−1. (Enter your
answers using interval notation.)
Domain of f
Range of f
Domain...