Reciprocal Functions and Graphs
Quotients of Polynomial Functions
Solving Rational Equations
Solving Rational Inequalities
Mr. Hijab
100
The ZEROS of the the original function are these on the reciprocal graph.
What is a vertical asymptotes?
100
How do you find the Vertical Asymptotes of a rational function?
Factor the bottom and set it equal to zero.
100
What is the first step in solving rational equations?
Factor if possible.
100
To solve a rational inequality you need to factor to find both of these.
Zeros and Vertical Asymptotes
100

What is Mr. Hijab's favourite class?

MHF4UP

200
These intervals are the same on both the original and the reciprocal functions.
What are the intervals of positivity and negativity?
200

If the degree of the top is the same as the degree of the bottom, how do you find the Horizontal Asymptote?

Divide Coefficients

200
When do you state the restrictions when solving a rational equation?
After factoring
200

YOU CAN NOT DO THIS WITH INEQUALITIES

What is cross-multiply?

200

These are Mr. Hijab middle names.

No middle name

300
These intervals are opposite on the original and reciprocal graph.
What are the intervals of increase and decrease?
300
If the degree of the bottom is bigger than the top, where is the Horizontal Asymptote?
Y = 0
300
What must you always do after you solve a rational equation?
Look back to restrictions
300
You can solve an inequality using a table, a number line and this way.
With graphing technology
300

They are Mr Hijab favourite sport.

Basketball

400
The number of "parts" of the reciprocal graph of a quadratic.
What is 3?
400

If the degree of the top is smaller than the degree of the bottom, where is the Horizontal Asymptote?

There is none

400

If you have two 'fractions' on one side of the equal sign, what must you do?

Find a common denominator and combine them.

400
This is when you use square brackets in your answer.
If the inequality said less than/greater than OR EQUAL to and it is not an asymptote.
400

This is the name of Mr. Hijab daughter? 

Zeina

500
A reciprocal function will always have a horizontal asymptote here.
What is y = 0?
500
What is the condition to have an oblique asymptote? How do you find it?
Degree of the top is bigger by exactly one degree. Long or Synthetic divide.
500
Solve: x - 1 = 2 15 5
x = 7
500
Solve the following inequality x + 4 < 4 x - 1
(-infinity, 1) and (3, infinity)
500

Where is Mr. Hijab originally from? 

Lebanon

M
e
n
u