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Section 3-1
 Changing Windows
Transformation: When a one-to-one correspondence
             exists between sets of points
Basically, there is a change that is applied to all of the
                          points
Warm-up
Graph y =    3   with your calculator. Use the default
            x
                        window



        1. Describe the default window.
   -10 ≤ x ≤ 10, -10 ≤ y ≤ 10, x and y scale = 1
Warm-up
2. For what window will the graph go from the lower
        left corner to the upper right corner?
       -1 ≤ x ≤ 1, -1 ≤ y ≤ 1, x and y scale = 1
3. For what window will the graph look nearly like a
                 horizontal line?
   -.01 ≤ x ≤ .01, -.01 ≤ y ≤ .01, x and y scale = .01
Viewing Window: The part of the coordinate plane that
  you see graphed on your calculator


Default Window: The normal graphing window, where
  -10 ≤ x ≤ 10, -10 ≤ y ≤ 10, x and y scale = 1
Example 1
a. Sketch the graph of y = 10 - x2, naming key points on
                       the graph.
b. Now graph it in your graphing calculator. Does the
               graph look the same?
Example 2
          a. Sketch the graph of 4x4 - 10x3.


b. Now graph it in your calculator. Does the graph look
                      the same?
Example 2
c. How can we make sure that our graphs are accurate
                    and neat?
      Adjust the window and scale as necessary.
 Be aware of what kind of graph you are graphing and
              what it should look like.

                   Anything else?
Example 2
     d. What should be included in ALL graphs?
                   Labeled axes
            Scales on axes (if scale ≠ 1)
An accurate representation of the shape of the graph
                   All intercepts
               Points of discontinuity
Using TI Connect
Homework

 p. 164 #1 - 20
Notes 3-1

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Notes 3-1

  • 2. Transformation: When a one-to-one correspondence exists between sets of points Basically, there is a change that is applied to all of the points
  • 3. Warm-up Graph y = 3 with your calculator. Use the default x window 1. Describe the default window. -10 ≤ x ≤ 10, -10 ≤ y ≤ 10, x and y scale = 1
  • 4. Warm-up 2. For what window will the graph go from the lower left corner to the upper right corner? -1 ≤ x ≤ 1, -1 ≤ y ≤ 1, x and y scale = 1 3. For what window will the graph look nearly like a horizontal line? -.01 ≤ x ≤ .01, -.01 ≤ y ≤ .01, x and y scale = .01
  • 5. Viewing Window: The part of the coordinate plane that you see graphed on your calculator Default Window: The normal graphing window, where -10 ≤ x ≤ 10, -10 ≤ y ≤ 10, x and y scale = 1
  • 6. Example 1 a. Sketch the graph of y = 10 - x2, naming key points on the graph. b. Now graph it in your graphing calculator. Does the graph look the same?
  • 7. Example 2 a. Sketch the graph of 4x4 - 10x3. b. Now graph it in your calculator. Does the graph look the same?
  • 8. Example 2 c. How can we make sure that our graphs are accurate and neat? Adjust the window and scale as necessary. Be aware of what kind of graph you are graphing and what it should look like. Anything else?
  • 9. Example 2 d. What should be included in ALL graphs? Labeled axes Scales on axes (if scale ≠ 1) An accurate representation of the shape of the graph All intercepts Points of discontinuity
  • 11. Homework p. 164 #1 - 20