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(See Solution) Tree Growth . The growth of a red oak tree is approximated by the function G(t)=-0.003t^3+0.137t^2+0.458t-0.839 where G(t) is the height of the tree

Question: Tree Growth . The growth of a red oak tree is approximated by the function

\[G\left( t \right)=-0.003{{t}^{3}}+0.137{{t}^{2}}+0.458t-0.839\]

where G(t) is the height of the tree in feet and t is its age in years. Use a graphing device to obtain a graph of this function and use it to answer the following questions. (This function is valid from year 2 to year 34.) LABEL YOUR ANSWERS PPROPRIATELY!

  1. Using the restricted domain, what is the range of the function?
  2. What is the age of the tree when it reaches its maximum growth?
  3. What is the maximum height?
  4. If they cut the tree after 15 years, how tall is the tree?
  5. The tree is 20 feet tall after how many years?

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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