# Rationals

### Summary page by : Kali Kennedy

## Your Seven things

Simplifying Rational Expressions

- you cancel the common factors, but once you get it to its simplest term do not try to cancel any more

Multiplying and Dividing Rational Expressions

- Simplify as much as you can, then multiply straight across

-you flip your Reciprocal , factor what you can , simplify, solve(multiply across)

Adding and Subtracting Rational Expressions

-find your least common denominator,once you find the least common denominator you multiply the top and bottom ,after you do this and rewrite your new rational you add or subtract the top across and bring you denominator across since it is the common denominator

Transformations on Rational Parent Function

- The moving of the rational function up, down , right, and left

Vertical and Horizontal Asymptotes

-For vertical set your denominator equal to zero and solve

-For horizontal put the equation in to (y = ) on the calculator and look for the error

Removable discontinuity

-Hole or point in a graphed rational function

Solving Rational Equations

- you first find your domain restrictions, then find your least common denominator, after you find the LCD multiply the top by the LCD, once you rewrite the equation you solve it as if it was any linear equation, and when you find your (x=) see if it is one of your restrictions and, if it is one of your restrictions it is not allowed

- you cancel the common factors, but once you get it to its simplest term do not try to cancel any more

Multiplying and Dividing Rational Expressions

- Simplify as much as you can, then multiply straight across

-you flip your Reciprocal , factor what you can , simplify, solve(multiply across)

Adding and Subtracting Rational Expressions

-find your least common denominator,once you find the least common denominator you multiply the top and bottom ,after you do this and rewrite your new rational you add or subtract the top across and bring you denominator across since it is the common denominator

Transformations on Rational Parent Function

- The moving of the rational function up, down , right, and left

Vertical and Horizontal Asymptotes

-For vertical set your denominator equal to zero and solve

-For horizontal put the equation in to (y = ) on the calculator and look for the error

Removable discontinuity

-Hole or point in a graphed rational function

Solving Rational Equations

- you first find your domain restrictions, then find your least common denominator, after you find the LCD multiply the top by the LCD, once you rewrite the equation you solve it as if it was any linear equation, and when you find your (x=) see if it is one of your restrictions and, if it is one of your restrictions it is not allowed

## Some Examples

## Simplifying Rational Expressions- you cancel the common factors, but once you get it to its simplest term do not try to cancel any more | ## Multiplying Rational Expressions- Simplify as much as you can, then multiply straight across | ## Dividing Rational Expressions-you flip your Reciprocal , factor what you can , simplify, solve(multiply across) |

## Simplifying Rational Expressions

Transformations of the Rational Parent Function #1

Finding Discontinuities of Rational Functions

Solving Rational Equations #1

## Kali Kennedy

I am in Sixth period Algebra II , as of late i have decide that my future career path would be in the direction of Dental Hygiene, My academic goals are just like any body else pass my classes to help me propel my self into the career of my choice.