place the steps to sketch the graph of a rational function in the appropriate order.\nfind the functions…

place the steps to sketch the graph of a rational function in the appropriate order.\nfind the functions zeros and vertical asymptotes, and plot them on a number line.\nchoose test numbers to the left and right of each of these places, and find the value of the function at each test number.\nsketch the functions graph, plotting additional points as guides as needed.\nuse test numbers to find where the function is positive and where it is negative.

place the steps to sketch the graph of a rational function in the appropriate order.\nfind the functions zeros and vertical asymptotes, and plot them on a number line.\nchoose test numbers to the left and right of each of these places, and find the value of the function at each test number.\nsketch the functions graph, plotting additional points as guides as needed.\nuse test numbers to find where the function is positive and where it is negative.

Answer

Explanation:

Step1: Identify key - points

Find the function's zeros and vertical asymptotes, and plot them on a number line.

Step2: Test intervals

Choose test numbers to the left and right of each of these places, and find the value of the function at each test number.

Step3: Determine sign

Use test numbers to find where the function is positive and where it is negative.

Step4: Sketch graph

Sketch the function's graph, plotting additional points as guides as needed.

Answer:

  1. Find the function's zeros and vertical asymptotes, and plot them on a number line.
  2. Choose test numbers to the left and right of each of these places, and find the value of the function at each test number.
  3. Use test numbers to find where the function is positive and where it is negative.
  4. Sketch the function's graph, plotting additional points as guides as needed.