by Gabriella Dalton, Algebra and Calculus CAPS Tutor A rational function is a fraction of polynomials. That is, if g(x) and p(x) are polynomials, then g(x)/p(x) is a rational function. The numerator is g(x) and the denominator is p(x). Examples: All of these examples are rational functions and for each example there are different methods to … More Graphing Rational Functions and Finding Asymptotes Within the Function
In mathematics, a conic section is the intersection of a plane and a cone. As the angle and the location of the intersection is changed we produce different curves such as circles, ellipses, parabolas, and hyperbolas. The eccentricity is a parameter associated with every conic section. It can be thought of as a measure of … More Hyperbolas, Ellipses, and Parabolas
Are fractions a struggle? What about factoring functions with fractional exponents? Then this would be a perfect refresher for you! Factoring an Expression Containing Rational Exponents Here is an additional reminder of the other main factoring methods as well: Factoring Monomials from Polynomials Factoring Polynomials by Grouping Factoring Perfect Squares Factoring Difference of two Squares … More All About Factoring!
The simplest rational function that we know is f(x) = 1/x. Here is its graph. Knowing the shape of this basic function, we can know graph more complex rational functions by using transformations of f(x) = 1/x. For example: We are going to give you a trick that you might use when solving more … More Graphing Rational Functions