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7.2 Graphing Polynomial Functions

7.2 Graphing Polynomial Functions. Relative maximum Relative minimum. Making a table to graph. Graph the function f(x) = -x 3 - 4x 2 + 5 The graph will cross the x axis 3 or less times since the degree is 3. Making a table to graph. Graph the function f(x) = -x 3 - 4x 2 + 5

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7.2 Graphing Polynomial Functions

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  1. 7.2 Graphing Polynomial Functions Relative maximum Relative minimum

  2. Making a table to graph Graph the function f(x) = -x3 - 4x2 + 5 The graph will cross the x axis 3 or less times since the degree is 3.

  3. Making a table to graph Graph the function f(x) = -x3 - 4x2 + 5 The graph crosses the x axis 3 times

  4. Find the area where the function equals zero f(x) = x4 – x3 - 4x2 + 1 Make a table

  5. Find the area where the function equals zero f(x) = x4 – x3 - 4x2 + 1 Make a table

  6. Find the area where the function equals zero f(x) = x4 – x3 - 4x2 + 1 Make a table Where are the zeros? between -2 and -1 - 1and 0 0 and 1 2 and 3

  7. What are the Relative Maximum or Relative Minimum It is an area where the highest or lowest points happen. We make a table. Graph the points and look for the highest and lowest points.

  8. What are the Relative Maximum or Relative Minimum Make the table for f(x) = x3 – 4x2 + 5

  9. What are the Relative Maximum or Relative Minimum Make the table for f(x) = x3 – 4x2 + 5 between -1 and 1 Relative Max between 2 and 3 Relative Min.

  10. Graph the function Between what numbers are the zeros of the function?

  11. Graph the function Between what numbers are the zeros of the function? Between -7 and -6 -4 and -3 3 and 4

  12. Graph the function Between what numbers are the Relative Max. and Min. of the function? Between -6 and -5 R. Min 0 and 2 R. Max

  13. Homework Page 356 # 13 – 25 odd

  14. Homework Page 356 # 14 – 26 even

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