Lesson 3

Explore

 

In Try This 1 you looked at using a graph to solve a radical equation. You will explore two graphical methods used to determine solutions to radical equations.

 

In Try This 2 you will look at a radical equation that equals zero. How are the roots of a radical equation and the x-intercepts of the graph of the corresponding radical function related?

 

Try This 2

1. Determine the root of  algebraically.

2. Open Relating Roots and x-intercepts.
   
   
    
   
   
   Slide the blue point on the function to answer the following questions.
   1. What is the x-intercept of the graph?
   2. What is the root to the equation ?
   3. Why is the value you determined in part b the root of the equation?
3. What do you notice about your answers to questions 1 and 2? Why do you think this is?
4. Do you think this same relationship exists for other radical functions and equations? Why or why not?

 Save your responses in your course folder.

 

Share 2

 

With a partner or in a group, describe the relationship between the roots of the equation and the x-intercepts of the corresponding graph and explain why you think this is.

 

 If required, place a summary of your discussion in your course folder.