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Section 4.1 Graphing Polynomial Functions

Section 4.1 Graphing Polynomial Functions. Day 2. End Behavior. The end behavior of a function’s graph is the behavior of the graph as x approaches positive infinity or negative infinity. End behavior of a polynomial function is determined by the degree and sign of its leading coefficient.

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Section 4.1 Graphing Polynomial Functions

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  1. Section 4.1 Graphing Polynomial Functions Day 2

  2. End Behavior • The end behavior of a function’s graph is the behavior of the graph as x approaches positive infinity or negative infinity. • End behavior of a polynomial function is determined by the degree and sign of its leading coefficient.

  3. End Behavior

  4. Degree: Odd • Leading Coefficient: Positive y = x3

  5. End Behavior

  6. Degree: Odd • Leading Coefficient: Negative y = -x5

  7. End Behavior

  8. Degree: Even • Leading Coefficient: Positive y = x2

  9. End Behavior

  10. Degree: Even • Leading Coefficient: Negative y = -x4

  11. Example 1

  12. Practice

  13. Homework: Textbook page 162 #17-22

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