Math 105-02: Calculus I: Reading Homework 1.8

1. New Functions from Old :
   
   1. Shifts, Stretches, and Sums : what do we mean by stretching a function? by shifting it? how are these related to families of functions?
      
      1. Stretches : how do we change the formula for a function to stretch it?
         
      2. Shifts : how do we change the formula for a function to shift it left or right? up or down? what does your answer for the ``up and down'' mean?
         
      3. Sums : how do we add functions?
         
   2. Function Composition : what is a composition of functions?
      
   3. Odd and Even Functions : what determines whether a function is odd, even, or neither?
      
      1. Even functions : what symmetry do even functions have? how is this represented algebraically? what type of polynomials are even?
         
      2. Odd functions : what symmetry do odd functions have? how is this represented algebraically? what type of polynomials are odd?