Ashford 2: – Week 1 – 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. Reference the Discussion Forum Grading Rubric for guidance on how your discussion will be evaluated. 

Domains   of Rational Expressions

Domains of Rational Expressions

In this discussion, you are assigned two rational expressions to work on. Remember to factor all polynomials completely. Read the following instructions in order and view the example (available for download in your online classroom) to complete this discussion. Please find the two rational expressions assigned to you in the table below. 

If   the first letter of your first name is

Your   first rational expression is

Your   second rational expression is

A   or L

x2   – 25
  2

     37       
  k2 – k – 30

B   or K

x2   – 36
  3x

7w   – 2
  16w2 – 1

C   or J

5m2   + m
  7m

12y   – 15
  25y2 – 4 

D   or I

k2   – k – 20
  18

6b   – 3
  3b2 – 12 

E   or H

81b2   – 16
  59

22x   + 11
  10×2 + 5x

F   or G

x2   – 14x + 49
  100x

m2   + 2m – 24
  m2 – 3m 

M   or Z

g2   – 6g – 55
  g

k3   + k
  k2 + k – 42 

N   or Y

64a2   – 9
  16

m2   + 2m – 15
  3m2– m 

O   or X

x2   + x – 72
  24

5b   – 3
  3b2 – 12 

P   or W

22m   + 11
  33

1   – 2x
  x2 – 49 

Q   or V

144   – d2
  21

m2   – 8m + 16
  5m2 + m

R   or U

n2   + 13n + 40
  8n

4w   – 3
  9w2 – 1 

S   or T

1   – x2
  x

2b   – 2
  2b2 – 8 

• Explain in your own words what the meaning of domain      is. Also, explain why a denominator cannot be zero.
• Find the domain for each of your two rational      expressions.
• Write the domain of each rational expression in set      notation (as demonstrated in the example).
• Do both of your rational expressions have excluded      values in their domains? If yes, explain why they are to be excluded from      the domains. If no, explain why no exclusions are necessary. 
• 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 your math work.
  • Domain 
  • Excluded value 
  • Set
  • Factor
  • Real numbers

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. Is their work similar to your own? Did they use the vocabulary words correctly? Do you understand their answers?
 

Before submitting your assignment, you may want to visit the Ashford Writing Center (AWC) for feedback. The AWC has two kinds of tutoring available to you:

• Live Chat      – If you have writing-related questions about a topic before you draft a      discussion post or submit a written assignment, you will now be able to      chat live with a tutor for up to 20 minutes. Live Chat will be available Monday through Friday from 10:00      a.m. to 11:00 a.m. and from 4:00 p.m. to 5:00 p.m. (PST).
• Email Paper Review      – If you have a draft, partial draft, or are just having trouble getting      started, you can complete a submission form and email your paper to the      AWC for review.
  • Writing tutors will do their best to return your paper       with their comments within 48 hours, not including Saturdays and Sundays.       Please plan accordingly if you would like to receive feedback before an       assignment due date.

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