Graphing Rational Functions
Adding Rational Expressions
Multiplying Rational Equations
Solving Rational Equations
Halloween
100
This point on the graph of a rational function shows where the function is undefined but can be simplified away.
What is a hole?
100
When adding rational expressions, you must have this in common between the expressions
What is the least common denominator?
100
Simplify
(3x)/2 xx 4/(5x)
What is
6/5
100
To clear the denominators in a rational equation, multiply every term by this.
What is the least common multiple of the denominators?
100
This term refers to a Halloween prank where someone covers a house or tree with toilet paper.
What is TP-ing?
200
This type of asymptote occurs when the degree of the numerator is less than the degree of the denominator.
What is a horizontal asymptote?
200
Simplify
3/x + 2/x
What is
5/x?
200
When multiplying rational expressions, always remember to do this with the numerator and denominator?
What is factor and cancel common terms?
200
Solve
x=25/x
What is x=5 or x = -5?
200
According to superstition, seeing this animal on Halloween might bring bad luck.
What is a black cat? 🐈⬛
300
The type of asymptote that represents where the function approaches infinity as x approaches a specific value.
What is a vertical asymptote?
300
The first step to simplify
5/(x-2)-3/(x+2)
What is finding a common denominator?
300
Simplify
(x+2)/(x-3) xx (x-3)/(x+5)
What is
(x+2)/(x+5)
300
Solve
(x+1)/(x+2)=(2x)/(x+2)
What is x=1
300
In the traditional Halloween game “bobbing for apples,” contestants try to grab apples using only this part of their body.
What is the mouth?
400
To find the x-intercept of a rational function, set this part of the function equal to zero.
What is the numerator?
400
Simplify
(x+3)/(x+2)-(2x−4)/(x+2)
What is
(-x+7)/(x+2)
400
Multiply
(x^2-1)/(x^2+5x+6) xx (x+3)/(x-1)
What is
(x+1)/(x+2)
400
Solve
3/(x+2)=2/(x+3)
What is x=-5?
400
This colorful, decorative item made of perforated paper is commonly used to adorn altars during Día de los Muertos celebrations.
What is papel picado?
500
To find the horizontal asymptote when the degree of the numerator is the same as the degree of the denominator, use this method.
What is dividing the leading coefficients of the numerator and the denominator?
500
Combine and simplify
(2x)/(x^2-1) + 3/(x+1)
What is
(5x-3)/[(x-1)(x+1)]
500
Simplify
(x^2-9)/(x^2-4x+4) xx (x-2)/(x-3)
What is
(x+3)/(x-2)
500
Solve
(x+4)/(x-2)=x/(x+2)
What is x=-1?
500
Before pumpkins, people in Celtic culture carved this root vegetable to make early Jack-o’-lanterns.
What is a turnip?