The table below shows the points on the graph of the linear function f. x    -2 -1 0 1 f(x) -1 1 3 5 given that g(x) = -f(x) - 2, complete the table for function g. x -2 -1 0 1 g(x)

For this case, what we must do is apply the following rule for the function g (x):
 g (x) = -f (x) - 2
 We have then:

 For x = -2:
 g (-2) = -f (-2) - 2
 g (-2) = - (- 1) - 2
 g (-2) = 1 - 2
 g (-2) = -1

 For x = -1:
 g (-1) = -f (-1) - 2
 g (-1) = - (1) - 2
 g (-1) = -1 - 2
 g (-1) = -3

 For x = 0:
 g (0) = -f (0) - 2
 g (0) = - (3) - 2
 g (0) = -3 - 2
 g (0) = -5

 For x = 1:
 g (1) = -f (1) - 2
 g (1) = - (5) - 2
 g (1) = -5 - 2
 g (1) = -7

 
 the table for function g is:
 x       -2    -1    0    1
 g(x)   -1     -3   -5   -7

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