1. Lesson 1

1.7. Explore 3

Mathematics 30-2 Module 4

Module 4: Polynomials

 

In Try This 1 you saw that the general shape of a graph can be predicted by the degree of the function. In Try This 2 you used the degree of a graph to predict some of the details of the graph.



textbook

A detailed summary of this information can be found in the table on page 276 of your textbook. Check to see how the following points relate to the table in the textbook.

  • The degree of a function predicts its general shape: constant, linear, quadratic, or cubic.
  • The number of x-intercepts is never greater than the degree.
  • The number of y-intercepts is always one.
  • For polynomials with an even degree, both ends of the graph will be above or both ends will be below the x-axis.
  • For polynomials with an odd degree, one end of the graph will be above the x-axis and one end will be below the x-axis.
  • Polynomials have a domain of {x|x ∈ R}.
  • The range should be interpreted from the shape of the graph.
  • The number of turning points is never greater than the degree minus 1.
Self-Check 1

 

Complete questions 1, 2, 3, and 4 on page 277 of your textbook. Answers