5.1 Polynomial FunctionsPart 2
Describing the Shape of a CubicFunction1.   List the function in standard form2.   Describe the end behavior of the     gr...
Example: Describe the Shape ofa Cubic Function   x    y   -2   -1   0   1   2
Example: Describe the Shape ofa Cubic Function   x    y   -2   -1   0   1   2
Determine the sign of the leadingcoefficient and the degree of thepolynomial.1.   Identify the end behavior      This tell...
Determine the sign of the leadingcoefficient and the least possibledegree of the polynomial.
Determine the sign of the leadingcoefficient and the least possibledegree of the polynomial.
Using differences to determinedegree Given a table of values (or a set of  ordered pairs) Analyze the differences of con...
Example: Determine the degreeof the polynomial function withthe given data.
Example: Determine the degreeof the polynomial function withthe given data.
Homework   P 285   #32 – 39, 41 – 49all, 58
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5.1 part 2

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5.1 part 2

  1. 1. 5.1 Polynomial FunctionsPart 2
  2. 2. Describing the Shape of a CubicFunction1. List the function in standard form2. Describe the end behavior of the graph3. Determine the possible number of turning points4. Use a Table to plot points5. Determine increasing and decreasing intervals
  3. 3. Example: Describe the Shape ofa Cubic Function x y -2 -1 0 1 2
  4. 4. Example: Describe the Shape ofa Cubic Function x y -2 -1 0 1 2
  5. 5. Determine the sign of the leadingcoefficient and the degree of thepolynomial.1. Identify the end behavior This tells you whether the leading coefficient a is positive or negative2. Identify the number of turning points # of turning points + 1 = possible degree of the polynomial
  6. 6. Determine the sign of the leadingcoefficient and the least possibledegree of the polynomial.
  7. 7. Determine the sign of the leadingcoefficient and the least possibledegree of the polynomial.
  8. 8. Using differences to determinedegree Given a table of values (or a set of ordered pairs) Analyze the differences of consecutive y – values, to determine the least-degree polynomial function that could generate the data ◦ If the first differences are constant, the function is linear ◦ If the second differences are constant, the function is quadratic ◦ If the third differences are constant, the function is cubic ◦ And so on…
  9. 9. Example: Determine the degreeof the polynomial function withthe given data.
  10. 10. Example: Determine the degreeof the polynomial function withthe given data.
  11. 11. Homework P 285 #32 – 39, 41 – 49all, 58

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