Ashford 6: - Week 5 - Discussion 1

Relations and Functions

  

   In this discussion, you will be assigned two equations with which you will   then do a variety of math work having to do with mathematical functions. Read   the following instructions in order and view the example to complete this discussion:

  • Find your two equations in        the list below based on the last letter of your last name.

  

If     the last letter of your last name is


On     pages 708 – 711, solve the following problems 

 

A     or B


22     and 30

 

C     or D


24     and 32

 

E     or F


26     and 34

 

G     or H


28     and 36

 

I     or J


12     and 46

 

K     or L


14     and 48

 

M     or N


16     and 50

 

O     or P


18     and 52

 

Q     or R


20     and 54

 

S     or T


2     and 56

 

U     or V


4     and 58

 

W     or X


6     and 60

 

Y     or Z


8     and 64

  • There are many ways to go        about solving math problems. For this assignment you will be required to        do some work that will not be included in the discussion. First, you        need to graph your functions so you can clearly describe the graphs in        your discussion. Your graph itself is not required in your post,        although the 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.
  • Specifically 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 
    • Domain 
    • Range 
    • 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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