Complete the table for the function Gx Complete the followin

Complete the table for the function G(x). Complete the following table Identify location and type of each discontinuity. Determine the end behavior of f(x) and what happens to the y-values as x approaches the discontinuities.

Solution

a) Domain : (-inf , -1] U (-1 , 2) U ( 2, inf)

b) range : ( -inf, inf)

c) x intercepts: x = -6, -2 ,1 ( nearest integer values)

d) f(x) increasing : (-inf, -4) U (2, inf )

e) f(x) is deceasing : (-4, -1) U (-2, 2)

f) f(x)<=0

[-2, -1) U (1,2) U (2, 3)

g)    f(x) = 3

x =4 ; x= -4

h) f(-1) = -6

h) Local maximum : (-4, 3)

discontuinity : x = -1