Question 80246
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.
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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.
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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.
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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.
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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.
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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.
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Question 7 
In the equation: 
y=2/x 
x and y vary directly. 
False 
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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
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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
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Cheers,
Stan H.