Math 2 Demonstration 3

\[ \definecolor{ucrblue}{rgb}{0.0627,0.3843,0.6039} \definecolor{ucrgold}{rgb}{0.9686,0.6941,0.2824} \definecolor{ucrred}{rgb}{0.8941,0,0.1686} \definecolor{ucrgreen}{rgb}{0.4706,0.7451,0.1255} \definecolor{ucraccent}{rgb}{1.0000,0.9569,0.8392} \DeclareMathOperator*{\LO}{O} \DeclareMathOperator*{\Lo}{o} \DeclareMathOperator*{\Recip}{Recip} \DeclareMathOperator*{\abs}{abs} \DeclareMathOperator{\pow}{pow} \]

Demonstration Instructions

Make sure your face is visible in the video. At the bare minimum, you should show your face at the beginning and introduce yourself verbally so that I know that it is you doing the Demonstration assignment.

Questions

1. Pick one question from the [Q] Chapter 1.5 Online Assignment to explain how you get the correct answer.
2. Pick one question from the [Q] Chapter 1.6 Online Assignment to explain how you get the correct answer.
3. Take \(R\) to be the rectangle given in Exercise 4 from the Chapter 2.1 Linguistic Mapping Exercises. Explain the meaning of the notation \(\langle -1,3\rangle+R\) and give a sketch of \(\langle -1,3\rangle+R\).
4. Take \(f\) to be the function given in Exercise 5 from the Chapter 2.1 Linguistic Mapping Exercises and take \(g\) to be the subset of \(\mathbb{R}^2\) that is given by \(\langle -3,1\rangle+f\). Explain the meaning of this sum and identify the domain of \(g\) and a formula for \(g(x)\) for each \(x\) in the domain of \(g\).

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