Math Problem Statement
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. 21. f(x) = x^3, g(x) = (x + 2)^3 + 1
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Transformations
Cubic Functions
Formulas
f(x) = x^3
g(x) = (x + 2)^3 + 1
Theorems
Transformation of functions: Horizontal shift, Vertical shift
Suitable Grade Level
Grades 10-12
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