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
36
10 on pages 708 – 711
37
2 on pages 708 – 711
38
4 on pages 708 – 711
39
6 on pages 708 – 711
40
8 on pages 708 – 711
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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