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5.8 – Analyze Graphs of Polynomial Functions

5.8 – Analyze Graphs of Polynomial Functions. 5.8 – Analyze Graphs of Polynomial Functions. Example 1: Graph the function f(x) 1/6(x+3)(x – 2 ) 2. 5.8 – Analyze Graphs of Polynomial Functions. Example 2: Graph the function f(x)= 4(x+1)(x+2)(x – 1).

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5.8 – Analyze Graphs of Polynomial Functions

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  1. 5.8 – Analyze Graphs of Polynomial Functions

  2. 5.8 – Analyze Graphs of Polynomial Functions Example 1: Graph the function f(x) 1/6(x+3)(x – 2 )2

  3. 5.8 – Analyze Graphs of Polynomial Functions Example 2: Graph the function f(x)= 4(x+1)(x+2)(x – 1)

  4. 5.8 – Analyze Graphs of Polynomial Functions Example 3: Graph the function f(x)= 2(x+2)2(x+4)2

  5. 5.8 – Analyze Graphs of Polynomial Functions Turning Points Another important characteristic of graphs of polynomial functions is that they have turning points corresponding to local maximum and minimum values. The y-coordinate of a turning point is a local max of the function if the point is higher than all nearby points. The y-coordinate of a turning point is a local min of the function if the point is higher than all nearby points.

  6. 5.8 – Analyze Graphs of Polynomial Functions

  7. 5.8 – Analyze Graphs of Polynomial Functions Example 2: Graph the function f(x) = x3 – 3x2 + 6 Graph the function g(x)= x4 – 6x3+ 3x2 +10x – 3

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