MATH 085 DIGGING DEEPER QUESTIONS
MODULE 6: RADICALS (RDEX, RDEQ; video sets 27-31)
Please respond to the following prompts to reveal your mastery and depth of understanding of the topics in this module. Write it out on paper and then upload it into the appropriate area in Blackboard. You may add additional evidence of your understanding if you like, but please write everything in our own words. The aim here is that you reveal your process and justification for what you are doing - yes, this means you can write little sentences to explain your thinking along the way. Quality submissions not only show answers, but also explain thinking.
DO AS MUCH OF THIS AS YOU CAN - THESE ARE INVITATIONS FOR YOU TO SHOW YOUR THINKING.
1. GRAPHING RADICAL FUNCTIONS
a. Find many points to create a complete graph for f(x) = ∑x - 3 and indicate what you know about its domain and range as well as if it is a function or not. Justify claims.
b. Find many points to create a complete graph for f(x) = 2 + ∓-x and indicate what you know about its domain and range as well as if it is a function or not. Justify claims.
2. SHOW HOW TO SIMPLIFY
Show a complete process for simplifying the following expressions.
a. x−27xy3 + y−48x3y
b. 2∓2(5−2 - 7∓)
c. ∕ / (2+∕) (explain why you do what you do here)
d. 324/5 (explain how to do this one without a calculator)
3. IDENTIFY A RADICAL SITUATION
Identify a situation where you may find the use of square roots. You may find something from the Internet (but please include a link to reference it) or you may create it yourself. Show exactly how it would be used.
4. RADICAL EQUATIONS
Show a complete process for solving the following radical equations. Make sure to check your answers! If a solution does not work, try to explain why this is the case.
a. 10 + ∑0x - 1 = 13
b. ∑x + 1 + 5 = x
c. ∑0 - 3x + 4 = x
