Chapter 6: Exercises with Answers (all sections combined)

562 Chapter 6 Polynomial Functions6.1 Answers1. p(x) = −x 3 −x 2 +3x+4, degree = 3,leading term = −x 3 , “p is a polynomialwith integer coefficients,” “p is a polynomialwith rational coefficients,” or “p isa polynomial with real coefficients.”21. Note that the leading term −3x 3(dashed) has the same end-behavior asthe polynomial p.y103. p(x) = x 4 + 3x 2 − x − 4, degree = 4,leading term = x 4 , “p is a polynomialwith integer coefficients,” “p is a polynomialwith rational coefficients,” or “p isa polynomial with real coefficients.”−10x105. p(x) = − 2 3 x5 − 3 2 x3 +5x+4, degree =5, leading term = − 2 3 x5 , “p is a polynomialwith rational coefficients,” or “p isa polynomial with real coefficients.”−10p(x)=−3x 3 +2x 2 +8x−47. p(x) = πx 6 + 2 3 x3 − √ 2x 2 −x, degree =6, leading term = πx 6 , “p is a polynomialwith real coefficients.”9. y = ax n , n odd, a < 0.11. y = ax n , n even, a > 0.23. Note that the leading term x 3 (dashed)has the same end-behavior as the polynomialp.y−70p(x)=x 3 +x 2 −17x+1513. y = ax n , n odd, a < 0.15. odd, positive17. even, negativex−10 1019. odd, positive−70Version: Fall 2007