Since R is commutative
From (1) and (2) Ra is an ideal of R.
Since R is commutative then
Use the weighted Euclidean inner product on where and , to find , where .
g is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to g. (c) Sketch the graph of g by hand. (d) Use function notation to write g in terms of the parent function f.
Convince me that D is a subspace of