4.1 Introduction: A rational function is a division of two polynomial functions. Or we can say that it is a polynomial divided by another polynomial.
In the case of one variable, x, a rational function is a function of the form
f(x) = P (x)/ Q(x)
Where P and, Q are polynomial functions in x and Q is not the zero polynomial. The condition for a rational function to exist is that the domain of f is the set of all points x for which the denominator Q(x) is not zero.
Example
f( x) = x2 + x – 20,
x2 – x 12
The polynomials in the numerator and the denominator of the above function would factor like this:
f(x) = (x + 5) (x – 4),
(x 4) (x + 3)
The objective of the project is to demonstrate your knowledge and understanding of the chapter key concepts of rational functions by creating your own rational function and graphing it BY HAND. Your function should meet the following criteria:
Attributes of the graph:
Xintercept(s) 
Show solving work ! 
Vertical Asymptote(s) 
Show how you know! 

Yintercept 
Show solving work! 
Horizontal Asymptote 
What rule did you use? 

Domain 
Use Interval Notation 
Range 
Use Interval Notation 

End Behaviour 
Calculations for EB 
Conclusions about EB: As x → ∞, As x → ∞, 

Behaviour around Vertical Asymptote(s) 
Calculations 
Conclusions 

Identify the interval(s) where the function is positive 
Identify the interval(x) where the SLOPE is INCreasing 

Identify the interval(s) where the function is negative 
Identify the interval(x) where the SLOPE is DECreasing 
To Schedule a Rational Function tutoring session
To submit Rational Function assignment click here.
Math Assignment Help  Rational Function  Geometry Help  Calculus Help  Math Tutors  Algebra Tutor  Tutorial Algebra  Algebra Learn  Math Tutorial  Algebra Tutoring  Calculus Tutor  Precalculus Help  Geometry Tutor  Maths Tutor  Geometry Homework Help  Homework Tutor  Mathematics Tutor  Calculus Tutoring  Online Algebra Tutor  Geometry Tutoring  Online Algebra Tutoring  Algebra Tutors  Math Homework Helper  Calculus Homework Help  Online Tutoring  Calculus Tutors  Homework Tutoring
Assignment Writing Help
Engineering Assignment Services
Do My Assignment Help
Write My Essay Services