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Lesson 8

1. Lesson 8

1.4. Discover

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Discover

 

This shows an abstract Illustration of traffic lights on a grid background.

 

In this section, you will use an interactive applet to learn about quadratic inequalities.

 

Try This 1

 

This is a play button that opens Quadratic Inequalities Explorer.

Launch Quadratic Inequalities Explorer.



  1. Complete the Quadratic Inequalities Table as you work through the Quadratic Inequalities Explorer.
  1. Based on your observations recorded in the table from question 1, complete the following three statements using either above, below, or on.

    1. The points (yellow ) you identified for f(x) = 0 were _______the x-axis.

    2. The points (red ) you identified for f(x) < 0 were _____the x-axis.

    3. The points (green ) you identified for f(x) > 0 were ______the x-axis.

  2. What is the relationship between the inequality symbol of an inequality and the location of the solution set on the graph of the corresponding function?

  3. Graph the function y = x2 − 2x − 8.

  4. Based on the relationship you identified in question 3, where would you find the solutions to the inequality x2 − 2x − 8 ≥ 0?

course folder Save your work in your course folder.

 

You will need to retrieve these results later in the lesson.