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Question 1 With: ?(?) = ?3 + 4 ?2 What is the domain of ?? Find...

Question 1

With: ?(?) = ?3 + 4 ?2

  1. What is the domain of ??

  2. Find the equations of all the asymptotes of ? (if any) (at the boundaries/holes of the domain)

  3. Find the intercepts of ? (if any)

  4. Is the function even? Odd? If yes, what symmetry will the graph possess?

  5. Do a sign chart of the first derivative, indicate the intervals where ? is increasing/decreasing, and

    find all the horizontal tangents of ? (if any).

  6. Do a sign chart of the second derivative, indicate the intervals where ? is concave up/down, and

    find the inflection points of ? (if any).

  7. Copy this grid, and sketch the graph of ? including the results you found on the previous steps.

  

Math   Calculus   
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