Domains of Rational Expressions Domains of Rational Expressions

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.