Rationals

By: Christina Valdez

Parts of the Rational Family

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subracting Rational Expressions

Transformations on Rational Parent Function

Vertical and Horizontal Asymptotes

Removable discontinuity

Solving Rational Expressions


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.

Biography

Christina Valdez

6th period

To finish this year with a 100 in your class