Respuesta :

Answer:

We conclude that:

  • g(-1) = -1
  • g(-0.25) = 0
  • g(2) = 2

Step-by-step explanation:

From the given function g(x)

g(x) =   -1   if -2 < x ≤ -1

           0   if  -1 < x ≤ 0

            1    if  0 < x ≤ 1

            2   if  1 < x ≤ 2

 

When x = -1, then the correct value of g(-1) will be:

g(-1) = -1

The reason is that the output value of -1 includes the value of x = -1 in the interval, as  -1  if -2 < x ≤ -1 .

When x = -0.25, then the correct value of g(-0.25) will be:

g(-0.25) = 0

The reason is that the output value of 0 includes the value of x = -0.25 in the interval, as  0   if  -1 < x ≤ 0

When x = 2, then the correct value of g(2) will be:

g(2) = 2

The reason is that the output value of 2 includes the value of x = 2 in the interval, as 2   if  1 < x ≤ 2.

Therefore we conclude that:

  • g(-1) = -1
  • g(-0.25) = 0
  • g(2) = 2