Question

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)

Answer #1

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.

(b) Find the inverse and label intercepts and asymptotes:
f(x) =
(5x+2/7x-3)+4

consider the following function f(x)=x2-3x/x2-4x+3
find all x inter and the equations of all vertical
asymptotes

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. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

Find the derivative of the function.
(a) f(x) = e^(3x)
(b) f(x) = e^(x) + x^(2)
(c) f(x) = x^(3) e^(x)
(d) f(x) = 4e^(3x + 2)
(e) f(x) = 5x^(4)e^(7x+4)
(f) f(x) = (3e^(2x))^1/4

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).

1. Graph of the function and label any intercepts and
asymptotes.
R(x)= x+5/x(x-3)

find a function whose graph has the given asymptotes
x=-8, x=3, and y=8
a) f(x)= 8x^2 / x^2+5x-24
b) f(x)= 8x^2 / x^2-5x-24
c) f(x)= x^2+8 / x^2+5x-24
d) f(x)= x^2+8 / x^2-5x-24

1. You are given the function f(x) = x/(1−x)
a) Find the x and y- intercepts.
b) Find the horizontal asymptote(s).
c) Find the vertical asymptote(s) and do a limit analysis of the
behavior of f on either
side of each vertical asymptote.
d) Find the critical number(s) of f.
e) Find the interval(s) of increase and decrease of f.
f) Find the relative maximum and minimum value(s) of f.
g) Find the hypercritical number(s) of f.
h) Find the...

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