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Polynomial Functions!by: Claudia Sousa & Rebecca Duval
Vocabulary!leading coefficient-the coefficient of the term with the highest degreecontinuous graph- gragh whose set of vertices is a continuous spacedepressed polynomial- the quotient when a polynomial is divided by one of its binomial factorsfactor- numbers multiplied together to result in the final numberrelative maximum- a point on the graph of a function whre no other nearby points have a greater y-cordinaterealative minimum- a point in the graph of a function where no other nearby points have a lesser y-cordinate
descripition section1. type of function?Quadratic Function2. terms of function? constant- -9cubic term- 10x^2quartic term- -x^43. degree of polynomial? 44. the highest degree of a polynomial is how many time sit hits the x-axis5. real zeros? 26. max number of turning points? 4 and yes, because it is even.8. relative max? -10
description section cont..9. the degress and the number of zeros are the same10. end behavior? when ever, it rises to the left and rises to the right.11. increasing at (3,60), decreasing at (-3,-42)12. to "solve" means to find the values.13. the factors and the zeros are related because they are the same.14. 2 real zeros16. the rule of signs simply has you count the number of sign changes. rational zero theorem has you factor the polynomial.
End Behavior Tabledeg. coeff. behavioreven...pos...x->inf....x->inf.even...neg...x->neg inf....x->infodd...pos...x->neg inf...x->infodd...neg...x->inf...x-> neg inf