Rational Functions without holes or asymptotes.
Nov 14, 2014 - Students are given 12 rational functions. They are to match the graph, horizontal asymptotes, holes, zeros, and vertical asymptotes to the function. Cut and Paste activity. 12 pages total, including the title page and solutions.
A rational function is just a function that has an expression on the numerator and the denominator. It has a polynomial in the numerator-- Let's see, we have x squared over-- and another polynomial in the denominator --x squared minus 16. We could obviously graph this by just trying out a bunch of points and then connecting the dots. That's what a calculator would do for us, a graphing.
Slant Asymptote. Showing top 8 worksheets in the category - Slant Asymptote. Some of the worksheets displayed are Asymptotes work, Asymptotes of rational functions, Graphing rational, Asymptotes and holes graphing rational functions, Vertical and horizontal asymptotes, Graphing a rational function, Graphing rational functions notes, Directions given the following rational function use.
Rational functions and Asymptotes. A function of the form where t(x) and n(x) are polynomials is called a rational function. The graphs of rational functions can be recognised by the fact that they often break into two or more parts. These parts go out of the coordinate system along an imaginary straight line called an asymptote. Let's look at the function This graph follows a horizontal line.
Given the reciprocal squared function that is shifted right 3 units and down 4 units, write this as a rational function. Then, find the x- and y-intercepts and the horizontal and vertical asymptotes. Then, find the x- and y-intercepts and the horizontal and vertical asymptotes.
Questions ask students to graph rational functions with holes or asymptotes. Questions ask students to graph rational functions. School John F Kennedy High School; Course Title MATH 101; Type. Homework Help. Uploaded By trevtecson. Pages 94 Ratings 100% (1) 1 out of 1 people found this document helpful; This preview shows page 3 - 6 out of 94 pages.
Identifying Vertical Asymptotes of Rational Functions. By looking at the graph of a rational function, we can investigate its local behavior and easily see whether there are asymptotes. We may even be able to approximate their location. Even without the graph, however, we can still determine whether a given rational function has any asymptotes, and calculate their location. Vertical Asymptotes.