结果1 题目 The exercises in this section should be done using a graphing calculatoror computer algebra system.Plot the graph of f(x) = x/(4 - x) in a viewing rectangle thatclearly displays the vertical and horizontal asymptotes. 相关知识点: 试题来源: 解析 2/5 反馈 收藏 ...
Steps to Graph a Rational Function • 1. Factor and simplify if you can • 2. Look for the vertical asymptote and horizontal asymptote • 3. Draw asymptotes as dotted lines on your graph • 5. Find 3 x values greater than the vertical asymptote and 3 less than the vertical asympto...
In mathematics, rational functions can be expressed as a ratio of a numerator and denominator that are both polynomials. Explore the steps for graphing and analyzing rational functions. Analyze vertical asymptotes and horizontal asymptotes to understand rational functions and how to graph them. ...
There are only a few things that you need to find to graph them, which include the vertical asymptotes, the horizontal asymptotes and the points to plot. A vertical asymptote is an x value that makes our function invalid. In other words, it is the x value that produces an error in our...
x=xx−1, showing both its horizontal and vertical asymptotes. Graph the vertical line segment between the points1,2and1,5. Graph the vertical linex=3. © Maplesoft, a division of Waterloo Maple Inc.,2024. All rights reserved. This product is protected by copyr...
To graph an exponential function, just plot its horizontal asymptote, its intercepts, and a few points on it. Learn the process of graphing exponential function along with many examples.
The domain of a polynomial function is set of real number except the abscissa ofvertical asymptotesand The range of a polynomial function is the set of images which does not contain the ordinate of thehorizontal asymptotes. From the above example, domain=R-{0} and the range =R-{0} because...
Solve the denominator's factors for their zeroes, keeping in mind that the zeroes of the denominator create vertical asymptotes; these zeroes will be where the graph will have gaps. Find the y-intercept, if it exists. Look at the degrees of the polynomials in the numerator and denominator; ...
(x)=0. Then plot the corresponding x-intercepts. Vertical Asymptotes and Holes • Find the zeros of the denominator (if any) by solving the equation D(x)=0. Then sketch the corresponding vertical asymptotes using dashed vertical lines. The divided factors from step #1 will become holes in...
Chapter 4 Review 4.4 Curve Sketching Techniques The graphing strategy used previously is expanded to include horizontal and vertical asymptotes. If f (x) = n(x)/d(x) is a rational function with the degree of n(x) one more than the degree of d(x), then the graph of f (x) has an...