Mathematics - Algebra
Not what you're looking for?
Pick a rational function.
Here are some examples you can use:
y = (x+1)/(x-2), y = 3x/(x^2-1),
y = (2x-1)/4x, y = (x+3)/(x^2-1),
y = (x^2+1)/(x^2 -3),
y = (6x+1)/(x^2),
y = x^2/(x-3),
y = (3x-5)/(4x+7),
y = (x^2)/(x^3 - 1)
Find:
a) Vertical Asymptote (if any)
b) Horizontal Asymptote (if any)
c) Slant Asymptote (if any)
d) X and Y intercepts
Graph your function.
For all Rational Functions:
*By looking at the equation for a rational function, how can you tell if there will be "y-values" which will never occur?
*If you let x take on very large positive values, and very small negative values, what can this tell you about the far right and left sides of the graph of a rational function that has horizontal asymptotes?
Purchase this Solution
Solution Summary
A complete, neat and step-by-step Solution is provided in the attached file to address the rational functions, finding the vertical asymptote, horizontal asymptote, slant asymptote, and X and Y intercepts.
Solution Preview
The solution file is attached with the full response including graphs.
Consider the rational function f(x) = x^3/(x^2 - 4)
The graph of this function is shown below:
Asymptotes:
Vertical Asymptotes
After canceling any common factors in the numerator and denominator, the remaining denominator ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.