Graphing polynomial functions
- 1. Graphing Polynomial FunctionsRoot and End Behaviors
- 2. Root Behavior“pass through” “bounce” “squiggle through” point pointpoint
- 3. Root Behavior Continued…“pass through” points occur when the factor is raised to the 1st powerEx: (4, 3)1“bounce” points occur when the factor is raised to a positive, even powerEx: (5, 2)2“squiggle through” points occur when the factor is raised to a positive, odd power other than 1Ex: (2, 6)3
- 4. End BehaviorEnd behavior: determined by the degree of the polynomialDegree: the highest exponent when in standard form; (total number of exponents when in factored form)
- 5. End Behavior Continued…When the polynomial is normal/positive and has an even degree the end behavior is two arrows pointing up ( , )When the polynomial is normal/positive and has an odd degree the end behavior is one down arrow then one up arrow ( , )When the polynomial is negative and the degree even the end behavior is two down arrows ( , )When the polynomial is negative and the degree is odd the end behavior is one up arrow and one down arrow ( , )