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manupilating-fraction

Assignment 5.1: Manipulating Functions

Complete the following problems. Be sure to show all work.

  • Use the graph of to sketch the graph of the following functions. Also, describe in words each transformation that you applied.
  • Use the graph of to sketch the graph of the following functions. Also, describe in words each transformation that you applied.
  • Find the domain of the following functions. Give your answer in interval notation.
  • Given and find , , , and .
  • Given and find , , and .
  • Find the inverse of the following one-to-one functions.
  • Use composition to verify that the following functions are inverses.
  • Sketch the graphs of the following functions and their inverses.

Simplify your answers.

Simplify your answers.

Solution:

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