SOLUTION: i would really be thank u if u could help me out with this. thank so much Identify the horizontal asymptotes. f(x)=x-1/x-3 x=3 y=3 x=1 y=1

Question 80246: i would really be thank u if u could help me out with this. thank so much

Identify the horizontal asymptotes.
f(x)=x-1/x-3

x=3
y=3
x=1
y=1
none

Question 2
Identify the vertical asymptotes.
f(x)=x-1/x-3

x=3
y=3
x=1
y=1
none

Question 3
Identify the horizontal asymptotes.
f(x)=x^2+1/x-2
x=1
y=1
x=2
y=2
none

Question 4
Identify the vertical asymptotes.
f(x)=x^2+1/x-2

x=1
y=1
x=2
y=2
none

Question 5 2 points
In the equation:
y=3x
x and y vary directly.
True
False

Question 6 Save
In the equation:
xy=0.1
x and y vary directly.
True
False

Question 7
In the equation:
y=2/x
x and y vary directly.
True
False

Question 8
If z varies jointly with the product of x and y, find the constant of variation, k, given x=1/2, y=8, z=12.
Enter only the numerical value of k.

Question 9
Using the information in question #8,
"If z varies jointly with the product of x and y, find the constant of variation, k, given x=1/2, y=8, z=12."
Write an equation that relates the variables.
Do not put any spaces between the numbers or variables in your equation.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Identify the horizontal asymptotes.
f(x)=x-1/x-3
As x gets larger and larger f(x) gets closes and closer to x/x=1
x=1 is the horizontal asymptote.
-----------
Question 2
Identify the vertical asymptotes.
f(x)=x-1/x-3
Vertical asymptote when the denominator is zero:
x=3 is a vertical asymptote.
---------------
Question 3
Identify the horizontal asymptotes.
f(x)=x^2+1/x-2
As x get larger of larger f(x) gets closer and closer to x^2/x=x which is infinity.
So, no horizontal asymptote.
-------------
Question 4
Identify the vertical asymptotes.
f(x)=x^2+1/x-2
Denominator is zero when x=2; x=2 is the vertical asymptote.
------------
Question 5 2 points
In the equation:
y=3x
x and y vary directly.
True
Because as x gets larger y gets larger; try it and you will see.
-------------------
Question 6 Save
In the equation:
xy=0.1
x and y vary directly.
False
They vary indirectly; as x gets larger, y gets smaller so their
product will stay the same; try it.
----------------
Question 7
In the equation:
y=2/x
x and y vary directly.
False
---------------
Question 8
If z varies jointly with the product of x and y: z=k(xy)
find the constant of variation, k, given x=1/2, y=8, z=12:
12 = k(1/2*8); k=3
------------------
Question 9
Using the information in question #8,
"If z varies jointly with the product of x and y, find the constant of variation, k, given x=1/2, y=8, z=12."
k=3
=================
Cheers,
Stan H.

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