Ashford 6: - Week 5 - Discussion 1

 

Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will reflect both the quality of your initial post and the depth of your responses.

 

     

Relations   and Functions

Relations and Functions

In this discussion, you will be assigned two equations where you will complete a variety of math work related to mathematical functions. Read the following instructions in order and view the example (available for download in your online classroom) to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.) 

  

If   your assigned number is


Solve   the following Problems

 

1


30 on pages 708 – 711


2 on pages 719–723

 

2


32 on pages 708 – 711


4 on pages 719–723

 

3


34 on pages 708 – 711


6 on pages 719–723

 

4


36 on pages 708 – 711


8 on pages 719–723

 

5


46 on pages 708 – 711


10 on pages 719–723

 

6


48 on pages 708 – 711


12 on pages 719–723

 

7


50 on pages 708 – 711


14 on pages 719–723

 

8


52 on pages 708 – 711


16 on pages 719–723

 

9


54 on pages 708 – 711


48 on pages 719–723

 

10


56 on pages 708 – 711


36 on pages 719–723

 

11


58 on pages 708 – 711


56 on pages 719–723

 

12


60 on pages 708 – 711


40 on pages 719–723

 

13


64 on pages 708 – 711


26 on pages 719–723

 

14


20 on pages 708 – 711


28 on pages 719–723

 

15


62 on pages 708 – 711


30 on pages 719–723

 

16


66 on pages 708 – 711


32 on pages 719–723

 

17


68 on pages 708 – 711


34 on pages 719–723

 

18


22 on pages 775 – 776


36 on pages 719–723

 

19


24 on pages 775 – 776


38 on pages 719–723

 

20


26 on pages 775 – 776


40 on pages 719–723

 

21


28 on pages 775 – 776


42 on pages 719–723

 

22


30 on pages 775 – 776


44 on pages 719–723

 

23


34 on pages 775 – 776


46 on pages 719–723

 

24


36 on page 775 – 776


48 on pages 719–723

 

25


38 on pages 775 – 776


50 on pages 719–723

 

26


40 on pages 775 – 776


52 on pages 719–723

 

27


42 on pages 775 – 776


54 on pages 719–723

 

28


22 on pages 708 – 711 


56 on pages 719–723

 

29


24 on pages 708 – 711


42 on pages 776 – 77

 

30


26 on pages 708 – 711


44 on pages 776 – 77

 

31


28 on pages 708 – 711


46 on pages 776 – 77

 

32


12 on pages 708 – 711


y = 3 ( x + 2 )2 - 5 

        

33


14 on pages 708 – 711


y = - 4 ( x - 2 )2 + 2

 

34


16 on pages 708 – 711


y = 2 ( x + 4)2 - 3

 

35


18 on pages 708 – 711


AU-MAT222-WK5Image1

 

36


10 on pages 708 – 711


AU-MAT222-WK5Image2

 

37


2 on pages 708 – 711


AU-MAT222-WK5Image3

 

38


4 on pages 708 – 711


AU-MAT222-WK5Image4

 

39


6 on pages 708 – 711


AU-MAT222-WK5Image5

 

40


8 on pages 708 – 711


AU-MAT222-WK5Image6

 

41


1 on pages 708 – 711


1 on pages 719–723 

 

42


3 on pages 708 – 711


3 on pages 719–723

 

43


5 on pages 708 – 711


5 on pages 719–723

 

44


7 on pages 708 – 711


7 on pages 719–723

 

45


9 on pages 708 – 711


9 on pages 719–723

There are many ways to go about solving math problems. To solve this problem, you will be required to do some work that will not be included in the discussion point. 

  • First, graph your functions so that you can clearly      describe the graphs in your post. Your graph itself is not required in      your post, although a discussion of the graph is required. Make sure you      have at least five points for each equation to graph. Show all math work      for finding the points.
  • Mention any key points on the graphs, including      intercepts, vertex, or start/end points. Points with decimal values need      not be listed, as they might be found in a square root function. Stick to      integer value points. 
  • Discuss the general shape and location of each of your      graphs.
  • State the domain and range for each of your equations.      Write them in interval notation. 
  • State whether each of the equations is a function or      not giving your reasons for the answer.
  • Select one of your graphs and assume it has been      shifted three units upward and four units to the left. Discuss how this      transformation affects the equation by rewriting the equation to      incorporate those numbers. 
  • Incorporate the following five math vocabulary words      into your discussion. Use bold font to emphasize the words in your      writing. Do not write definitions for the words; use them appropriately in      sentences describing the thought behind your math work.
    • Function
    • Relation
    • Vertical Line test
    • Transformation

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7. 

Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion.

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