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Answer:
a. As x decreases without bound, the graph of the polynomial function either falls or rises to the left continuously without end.
b. The graph is (i) above the x-axis and (ii) below the x-axis in the following intervals:
1. (i)-3/2<x<1 and x>4; (ii) x<-3/2 and 1<x<4
2. (i) x<-3 and 1<x<4; (ii) -3<x<1 and x>4
3. (i) x<-5 and -1<x<1 and (ii) -5<x<-1 and 1<x<5
4. (i) -5<x<-2 and x<-5, -2<x<1 and x>1
5. (i) x<-3 and x>1 (ii) -3<x<-1, -1<x<0, and 0<x<1
c. As x increases without bound, the graph of the polynomial function either falls or rises to the right continuously without end.
d. The leading terms of the polynomial function are the following:
1.) 2.) 3.) 4.) 5.)
e. The leading coefficients and degree:
1.) Leading coefficient:2, degree: 3
2.) Leading coefficient:-1, degree: 3
3.) Leading coefficient: 1, degree: 4
4.) Leading coefficient: -1, degree: 4
5.) Leading coefficient: 1, degree: 10