Rational Functions
Transformations of Rational Parent
Direct or inverse variation (or neither)
Substitution
Solving equations and formulas
100

All real numbers except those for which the denominator equals zero

What is Domain of Rational Function?

100

f(x) = 1/x

What is Rational Parent Function?

100

y=kx

What is Direct Variation?

100

x+3y=2 -x+2y=3

What is x=-1 and y=1?

100

5x = y solve for x

What is x= y/5?

200

egree of numerator = degree of denominator


What is Horizontal Asymptote?

200
F(x)=a/x-h +k
What is Rational Function?
200

y=k/x

What is Inverse Variation?

200

y= x-2 x+5y=20

What is x=5?

200

yx - a = cx solve for x

What is x = a/y-c?

300

Put function in lowest terms set denominator = 0. 


And graph of function never intersects 

What is Vertical Asymptote?

300
Moves right when it's positive and moves left when is negative 
What it is H?
300

Does the data in this table represent that y varies directly with x? if it does write an equation. x: 4, 5, 11 y: 3, 4.5, 13.5 

What Is not Direct Variation.?

300

x-2y=-10 -x+2y=3

What is y=6 and x=2?

300

ay - b = c solve for y

What is y= (b + c)/a?


400

degree of numerator < degree of denominator

y=0 is horizontal asymptote

What is Proper Rational Function?

400
Moves up when it's positive and it moves down when it's negative.   
What  is K?
400

Find the missing variable of Direct Variation (2/3, 2) and (x,6)

What is x=2?
400

x+y=5 2x+5y=16

What is y=2 , x=3?

400

3x - 4y = 7 solve for y

What is y= (3x - 7)/4?

500

The highest degree term in numerator divided by highest degree term in denominator. 

What is the Shortcut for finding horizontal asymptote?

500
Stretches when a<1. Compresses when 0>a>1. Reflects when a<0 (negative)
What is A?
500

If I get paid $60 to work 5 hours, how much would I make in 12 hours?.(Direct, Inverse or neither 

What is Direct Variation?

500

5x+y=-4 y=x+2

What is x=-1 y=1 5x(x+2)=-4 -2 -2 6x=-6 x=-1 Plug in x y=-1+2 and y=1?

500

y = mx + b

What is m = (y-b)/x

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