(Solved): Graph the following function using the techniques of shifting, compressing, stretching, and/or refl ...

Graph the following function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function \( y=x^{3} \) and show all stages. Be sure to identify at least three key points. Find the domain and the range of the function. \[ f(x)=(x-1)^{3}+2 \]