2.2 Polynomial Function of Higher Degree

End Behavior

100

Determine the end behavior of f(x)=2x^4-3x+1

Rises to left and rises to the right

200

Find the end behavior of h(x)=1-x^6

falls to the left and falls to the right

300

Find the end behavior of f(x)=2x^3-3x+1

falls to the left and rises to the right

400

Find the end behavior of f(x)=-7(s^3+5s^2-7s+1)

Rises left and falls right

500

Determine the end behavior f(x)=-2/3(t^2-5t+3)

falls to the left and falls to the right

Zero & Multiplicity

100

find the zero(s) and the multiplicity for each zero f(x)=x^2-4

zeros:x=-2 ; x=2 multip:1 ; 1

200

find the zero(s) and the multiplicity for each zero f(x)=x^2-9

zero:x=-3 ; x=3 multip: 1 ; 1

300

find the zero(s) and the multiplicity for each zero f(x)=x^2+10x+25

zero:x=-5 mutip:2

400

find the zero(s) and the multiplicity for each zero f(x)=t^3-4t^2+4t

zero: t=0 ; t=2 ; multip: 1 ; 2

500

find the zero(s) and the multiplicity for each zero f(x)=x^4-x^3-20x^2

zero: x=0 ; x=-4 ; x=5 multip; 2 ; 1 ; 1