# Rationals

### By: Christina Valdez

## What do they mean?

__Simplifying Rational Expressions__- means to reduce the expression into the lowest form in a problem.

__Multiplying and Dividing Rational Expressions__- First do the multiplication/division of numerators of the rational expressions. Then, factor the expression. Do the multiplication/division of denominators and factor the last expression. Then, write the expressions by putting them as fractions. The last answer is simplified.

__Adding and Subtracting__- First find the least common factor of each expression, find the common denominator, multiply, then simplify if you can.

__Transformations on Rational Parent Function- __

examples: f(x)=x^2

y=x

y=1/x

__Vertical and Horizontal Asymptots- __The line *x* = *a* is a vertical asymptote of the graph of the function *y* = *ƒ*(*x*)

Horizontal asymptotes are horizontal lines that the graph of the function *y* = *ƒ*(*x*)

__Removable Discontinuity- __The set of points at which a function is continuous and goes off the graph.

__Solving Rational Expressions__- solving a rational can be either adding, subracting, divding, or multiplying. By either finding their least common factor or common demoninator. And they will always be in fraction form but the finial anwser might not always be a fraction.