Vertical Asymptotes
Horizontal Asymptotes
Holes and Other
Adding/Subtracting
Multiplying/Dividing
100

The vertical asymptotes of 

(x - 5)/(x^2- 4)

What are x = 2 and x = -2?

100

The horizontal asymptote of 

(2x)/(3x^2)

What is y = 0?

100

The holes of 

((x - 7)(x+2))/((x-7)(x-5))

What is x = 7?

100

The simplified answer of 

(5x)/(3x^2)+(7x)/(3x^2)

What is 

4/x?

100

K _ _ _  C _ _ _ _ _ F _ _ _  helps us remember how to divide fractions.

What is Keep Change Flip?

200

The vertical asymptotes of 

3/(4x^2+8x)

What are x = 0 and x = -2?

200

The horizontal asymptote of 

(2x^3+ 5)/(3x^3-7x)

What is 

y = 2/3 ?

200

The holes of 

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

What are x = 0 and x = -2?

200

The simplified answer of 

(4x+12)/(x+3)+(-2x-6)/(x+3)

What is 2?

200

The simplified answer to 

(x - 6)/(x(x+3)(x+2))*((x+3)(x-4))/(x-6)

What is 

(x-4)/(x(x+2)) ?

300

The vertical asymptotes of 

7/(x-5)+9

What is x = 5?

300

The horizontal asymptote of 

(-x^2)/(x^2 + x + 7)

What is y = -1?

300

The y-intercept of 

(x - 12)/((x - 3)(x+2)

What is 2?

300

The simplified answer of 

7/(x+4)+5/(x+1)

What is 

(12x+27)/((x+4)(x+1)) or (3(4x+9))/((x+4)(x+1))?

300

The domain of 

(x - 6)/(x(x+3)(x+2))*((x+3)(x-4))/(x-6)

What is all real numbers except x cannot equal 0, -3, -2, or 6?

400

The vertical asymptotes of 

((x - 5)(x - 3))/((x + 7)(x - 3))

What is x = -7?

400

The horizontal asymptote of 

(x^29 - 7x^5 + 3)/(8x^2+ 19)

What is no horizontal asymptote exists?

400

A rational function that doesn't have a horizontal asymptote could have this type of asymptote.

What is slanted or oblique? (Diagonal will also be accepted as an answer.)

400

The LCM of 

(x+5)(x-6)^2 and (x+3)(x-6)

What is 

(x+5)(x-6)^2(x+3) ?

400

The simplified answer to 

(x^2-36)/(x^2+6x) -: (x^2-3x-18)/(x^2+3x)

What is 1?

500

The vertical asymptotes of 

7/(x^3 - 13x^2+40x)

What are x = 0, x = 8, and x = 5?

500
The maximum number of horizontal asymptotes a rational function can have.

What is one?

500

The holes of 

(x^2-25)/(7x^2 - 35x)

What is x = 5?

500

The simplified answer to 

(7x-5)/(2x^2)-(x+3)/x^2

What is 

(5x-11)/(2x^2) ?

500

The simplified answer to 

(x+4)/(2x^2+14x)*(x^2+2x-35)/(x^3+4x^2)

What is 

(x-5)/(2x^3)?

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