Relations And Functions
Relations And Functions
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
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. Please find the two equations assigned to you in the table below:
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
• First, 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.
• 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.):
o Vertical Line test
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.