in your journey Notebook, reflect and answer the question.
1. How can we determine the end behavior of a polynomial function?
2. How would you describe the end bahavior of the graph?
3. What new strategies do you discover in graphing polynomial functions?
1. How can we determine the end behavior of a polynomial function?
2. How would you describe the end bahavior of the graph?
3. What new strategies do you discover in graphing polynomial functions?
Answers & Comments
Answer:
1.To determine its end behavior, look at the leading term of the polynomial function.
2.The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis
3.Predict the end behavior of the function.
2 . Find the real zeros of the function. Check whether it is possible to rewrite the function in factored form to find the zeros. Otherwise, use Descartes' rule of signs to identify the possible number of real zeros.
3 . Make a table of values to find several points.
4 . Plot the points and draw a smooth continuous curve to connect the points.
5 . Make sure that the graph follows the end behavior as found in the above step.