Question
1) Find the interval(s) on which f(x)>0 and f(x) <0 , for f ( x ) = 13 ( x 6 ) ( x +
1)Find the interval(s) on whichf(x)>0andf(x)<0, forf(x)=13(x6)(x+10)
2)Find the interval(s) on whichf(x)>0andf(x)<0, for f(x)=17(x2)(x+6)
3)Find the interval(s) on whichf(x)>0andf(x)<0, forf(x)=18(x3)(x+7)^2(x14)
4) Find the interval(s) on whichf(x)>0andf(x)<0, forf(x)=2(x+6)^3(x+11^)2(x19)^4
5)Find an equation for a polynomial of degree 2 with the following properties:
- zeros atx=5andx=2.
- f(0)=20.
6)Find an equation for a polynomial of degree 3 with the following properties:
- zeros atx=5,x=15andx=3.
- f(0)=2250.
7)Find an equation for a polynomial of degree 4 with the following properties:
- zeros atx=6,x=11andx=3.
- f(0)=26136.
- f(x)<0onlyontheinterval(3,6).
8)Find an equation for a polynomial of degree 5 with the following properties:
- zeros atx=4,andx=6.
- f(0)=13.
- f(x)>0onlyontheinterval(,6).
9)Find an equation for a polynomial of degree 5 with the following properties:
- zeros atx=4,andx=6.
- f(0)=13.
- f(x)>0only on the interval(,6).
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