please help me to solve those problems

Complete the following problems showing your work and clearly communicating your answers. Submit this assignment via email by making a pdf, taking pictures, or providing a document link On page 300 of your Precalculus textbook, the author illustrates a blue box summary of finding asymptotes of rational functions. Specifically, the author writes: "1. The vertical as action> are the lines x - a, where a is a zero of the den This lab is designed to help you understand why the above statement is incorrect. 1. Use the function g(x) = 2x1-4x a. Use a calculator to graph g(x). Make sure you have a window that is large enough to clearly see all the important features of the graph including intercepts, vertex, and potential asymptotes. Make sure that you have a window that is not so large that these important features are too small to clearly see. Xmin: Xmax Ymin: Ymax: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes. c. Now find the vertical asymptotes algebraically by solving for the zeros of the denominator of the function g(x). 2. Use the function h(x) = 2x2-6x x3-9 a. Use a calculator to graph h(x). Make sure you have a window that is large enough to clearly see all the important features of the graph including intercepts, vertex, and potential asymptotes. Make sure that you have a window that is not so large that these important features are too small to clearly see. Xmin: Xmax: Ymin: Ymax: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes. c. Now find the vertical asymptotes algebraically by solving for the zeros of the denominator of the function h(x). 3. Although g(x) and h(x) are very similar functions they do not have the same number of vertical asymptotes. To see why: a. Factor both the numerator and denominator of g(x) b. Factor both the numerator and denominator of h(x) c. Notice how the function h(x) can be simplified after factoring. Write the simplified version of h (x). d. Reflect upon your answers to the questions on this lab. Your results should help you understand why the statement about vertical asymptotes your author made is only sometimes correct. In the space below write a better statement about how to find vertical asymptotes. Be sure to be clear and precise so that a PreCalculus student in a different class can use your statement to correctly find vertical asymptotes of a rational function