7.2 Graphing Polynomial Functions

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Presentation transcript:

7.2 Graphing Polynomial Functions Relative maximum Relative minimum

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.

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

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

Find the area where the function equals zero f(x) = x4 – x3 - 4x2 + 1 Make a table x f(x) ( -2, 9) ( -1, -1) ( 0, 1) (1, -3) ( 2, -7) ( 3, 19) ( 4, 129)

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 x f(x) ( -2, 9) ( -1, -1) ( 0, 1) (1, -3) ( 2, -7) ( 3, 19) ( 4, 129)

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.

What are the Relative Maximum or Relative Minimum Make the table for f(x) = x3 – 4x2 + 5 x f(x) ( -2, -19) (-1, 0) ( 0, 5) ( 1, 2) ( 2, -3) ( 3, -4) ( 4, ( 5, 30)

What are the Relative Maximum or Relative Minimum Make the table for f(x) = x3 – 4x2 + 5 between -1 and 1 Relative Max 2 and 3 Relative Min. x f(x) ( -2, -19) (-1, 0) ( 0, 5) ( 1, 2) ( 2, -3) ( 3, -4) ( 4, ( 5, 30)

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

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

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

Homework Page 356 # 13 – 25 odd

Homework Page 356 # 14 – 26 even