Direct and Inverse Variation
Find the Asymptote
Key Features of Rationals
Simplify The Rational
Solve The Rational
100
X and Y are directly related, and x=4 while y=10.  What is k?
K = 5/2
100

What is the vertical asymptote of the following reciprocal function:



y=2/(x-3) +4


x=3

100

What is the y-intercept of the following function:



y=(x-4)/(x+2)


y = -2

100

Simplify The Rational



(3x^3)/(12x^2+9x)


(x^2)/(4x+3)

100
Solve the rational:


3/2+1/x=2

2
200
X and Y are inversely related and y=6 while x=4.

What is k?

K=24
200
What is the horizontal asymptote of the following reciprocal function?


y=8/(x+3) - 3

y=-3
200

What is/are the x-intercept/s of the following function?



y=(x^2 -4)/(x+2)


x=2

200

Simplify The Rational



(4xy^3)/(x^2y) * (y)/(8x)


y^3/(2x^2)

200

3/(4x) = 5/(x+2)

6/17
300

Create the formula from the following: w varies directly with z and inversely with the square root of x.

w=(kz)/(sqrt(x))

300

What is/are the vertical asymptote/totes of the following rational function?


y=(x+5)/(x^2 -25)



The only vertical asymptote is at x=5.

300

What is the domain of the following function?



y=1/(x - 7)


All real numbers except 7

300

Simplify The Rational



(32x^3y)/(y^9)-:(8x^4)/(y^6)


4/(xy^2)

300

8/(x+2)+8/2=5

6
400
z varies inversely with x-squared and directly with a and b.

z=(kab)/(x^2)

400
What is the horizontal asymptote of the following rational function?


y=(x^3 -1)/(x+4)

There is NO horizontal asymptote
400

What is the range of the following function:



y=(4x - 8)/(2x - 3)


All real numbers except 3/2

400

Simplify the rational



(30)/(m^2-25)+(3)/(m+5)


(3/(m-5)

400

(-3)/(x+1)=4/(x-1)

-1/7
500

Y varies inversely with X.  When x = 4, y=10.  Find k and use it to find y when x = 20.  

y=2

500

What is the horizontal asymptote of the following function?



y=(6x^4 + 3x^2 -6)/(12x^4 -3x+2)


The horizontal asymptote is at y=1/2

500

What is the equation for the horizontal asymptote of the function?

y=(4x - 8)/(3x - 5)

The horizontal asymptote is y = 4/3.

500

Simplify the Rational



((11-w)/(30w^2))/((w-11)/(5w^4))


-w^2/(6)

500
Solve the rational


(x-3)/(x-4)+4=(3x)/x

7/2
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