Question

Suppose that the function g is defined on the interval (-2, 2] as follows.​

Answer 1

We conclude that:

• g(-1) = -1

• g(-0.25) = 0

• g(2) = 2

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