See the graph of gx State the requested values or intervals

See the graph of g(x). State the requested values or intervals. State the domain x = (-infinity, infinity) State the intervals of increase: State the local minimum value(s). State the zeros and their possible multiplicity: Describe the end behavior of the polynomial. Using the information you found in parts (a) through (e), determine a possible factored form for the polynomial g(x).

Solution

a) Domain
( - inf, inf)

b) Intervals of increas ( -inf , - 2) U ( -1, 1) U ( 2, inf )

c) Local minimum : y = 0 ; y = -1

d) zeros : x= -2 (multiplicty 1)

x= -1 (multiplicty 2)

x = 1.5 (multiplicty 1)

x = 3 (multiplicty 1)

e) x ----> -inf ; y--> - infinity

x ----> + inf ; y-->+ infinity