Lesson 2

Discover

 

Try This 1

 

How does the graph of a function compare to the graph of the square root of the function? Compare the graphs for the functions y = x + 4 and

1. Fill in the table of values. Create a graph using the values.
   
   

   x	y = x + 4
   −6
   −4
   −3
   0
   5
   12

2. Fill in the table of values. Create a graph using the values on the same grid that you graphed y = x + 4.
   
   

   x
   −6
   −4
   −3
   0
   5
   12

3. Compare the two functions.
   1. State the domain and range of the two functions. Explain why you think they are different.
   2. When y = 0 for the original function, y = 0 for the square root of the function. Why?
   3. When y = 1 for the original function, y = 1 for the square root of the function. Why?
   4. When y = 4 for the original function, y = 2 for the square root of the function. Why?

Save your responses in your course folder.

 

Share 1

 

With a partner or group, discuss the following question based on your graphs created for Try This 1:

 

Identify a pattern between the coordinates (x, y) of the first function y = x + 4 and the coordinates of the second function

 

If required, save a record of your discussion in your course folder.