Vertical Asymptotes
Horizontal Asymptotes
Roots/Holes
Graphing
Inverse and Direct Relationship
Solving
100

Determine the vertical asymptote: 

(-2)/(x+5)+12

x=-5

100

Determine the horizontal asymptote: 

5/(x-7)-13

y=-13

100

Determine the roots of: 

(x-3)/(x^2+6x+9)

(3,0)

100

Determine the vertical asymptote 

x=-3

100

If y varies inversely with x, and y=15 when x=4, find x when y=10.

x=6

100

Solve the following: 

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

x=7

200

Determine the vertical asymptote: 

(-1)/(2(x-9))-10

x=9

200

Determine the horizontal asymptote: 

(-3)/(4(x-2))+16


y=16

200

Determine the root of: 

12/(x-4)+6

(2,0)

200

Determine the transformations 

The graph moved right 2 and down 3

200

If y varies directly with x, and y=11 when x=3, find x when y=18. (Round your answer to the nearest whole number)

x=5

200

Solve the following: 

(x^2+5x+6)/(x+3)=-3

x=-5

300

Determine the vertical asymptote: 

(x+3)/(x-1)

x=1

300

Determine the horizontal asymptote: 

(x^2+3x-28)/(x-9)

None

300

Determine if there is a hole and what it is: 

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

No hole on graph

300

Determine the transformations for the graph:

Vertical OR Horizontal Reflection, left 2 units, down 3 units

300

The cost of apples varies directly with weight. If 4 pounds cost $10, how much does 7 pounds cost?

$17.50

300

Solve the following: 

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

x=-9

400

Determine the vertical asymptote: 

(x^2-5x-16)/((x+5)(x+8))

x=-5 and x=-8

400

Determine the horizontal asymptote: 

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

y=0

400

Determine if there is a hole and what it is: 

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

Hole at 

x=2

400

Determine the equation from the graph: 

y=1/(x+4)+3

400

The intensity of a sound varies inversely with the square of the distance from its source. If the intensity is 64 W/m2 at 3 meters, what is the intensity at 6 meters?

16 W/m2

400

Solve the following: 

x/(x+4)=(-4)/(x-14)

x=2 and x=8

500

Determine the vertical asymptote: 

(x^2-7x+12)/(x^2-6x+8)

x=2 and x=4

500

Determine the horizontal asymptote: 

(2x^2+9x+9)/(x^2-5x+6)

y=2

500

Determine if there is a hole and what it is: 

(x+2)/(x^2-4x-12)

Hole at 

x=-2

500

Determine the equation for the following graph:

y=(-1)/(x-3)+2

500

A car traveling at a constant speed uses fuel at a rate directly proportional to the distance traveled. If the car uses 3 gallons of fuel to travel 75 miles, how many gallons will it use to travel 140 miles?

5.6 Gallons

500

DOUBLE POINTS: The equation has two solutions. Find the solutions and determine if the solutions are real or extraneous. 

(x-1)/(x-3)+(x)/4=2/(x-3)

Real: x= -4 , Extraneous: x=3

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