Jun 4, 2023 · In this section we will use the zeros and asymptotes of the rational function to help draw the graph of a rational function. We will also investigate the end-behavior of rational …

This can sometimes save time in graphing rational functions. If a function is even or odd, then half of the function can be graphed, and the rest can be graphed using symmetry.

Analyze and sketch graphs of rational functions. Sketch graphs of rational functions that have slant asymptotes. Use rational functions to model and solve real-life problems.

Examples – Sketch the graphs of the following rational functions. a. None. y = y-intercept. Choose values for “x”. Plug in to find corresponding “y”. Let Plot ordered pairs (x, y). b. (from long …

Oct 3, 2022 · We now present our procedure for graphing rational functions and apply it to a few exhaustive examples. Please note that we decrease the amount of detail given in the …

Example 12 Writing a Rational Function from Intercepts and Asymptotes Write an equation for the rational function shown in Figure 22. Figure 22 Solution The graph appears to have x x …

General Steps to Graph a Rational Function Factor the numerator and the denominator State the domain and the location of any holes in the graph Simplify the function by factoring if possible. …

Examples, solutions, videos, worksheets, and activities to help students learn about how to graph rational functions. What is a Rational Function? f (x) = p (x)/q (x) where p (x) and q (x) are …

What are some of the characteristics of the graph of a rational function? f(x) . is a hyperbola. Work with a partner. Each function is a transformation of the graph of the parent. 1 function f(x) . …

The examples cover various skills, including graphing, analyzing asymptotes, and solving equations involving rational expressions. One of the key strengths of this collection is its …