Linguistic Mapping Exercises
Knowledge Checks
- Take \(V=\langle -2,6\rangle\). Calculate \(-3V\) and \(\tfrac{1}{2}V\).
- Take \(V=\langle -2,6\rangle\). Calculate the length of \(V\), \(-3V\) and \(\frac{1}{2}V\).
- Take \(V=\langle -2,6\rangle\). Write its polar form.
- Find the equation of the circle of radius \(3\) centered at \((-1,4).\)
- Find the projection of \((-1,4)\) onto the unit circle.
- Write \(g(x)=-2(x-1)^2+1\) as a composite function using \(\text{pow}_2\). Use a graphing tool to verify your answer.
- Write \(g(x)=3(5x+1)^3\) as a composite function using \(\text{pow}_3\). Use a graphing tool to verify your answer.