Build new functions from existing functions.
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Understand how the algebraic properties of an equation transform the geometric properties of its graph.
Develop an understanding of functions as elements that can be operated upon to get new functions: addition, subtraction, multiplication, division, and composition of functions.
Explain why the graph of a function and its inverse are reflections of one another over the line y = x.
Construct the difference quotient for a given function and simplify the resulting expression.
Build new functions from existing functions