Precalculus · Problem 3.1.26

Polynomial Functions — Stitz & Zeager

Mathematics — Precalculus · polynomial-transformations

Problem

Given the pair of functions

f

and

g

, sketch the graph of

y = g(x)

by starting with the graph of

y = f(x)

and using transformations. Track at least three points of your choice through the transformations. State the domain and range of

g

f(x) = x^6, \ g(x) = 8 - x^6