Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
A(4/3, -4 that is the correct response
The answer is 8 because a negative number times or divide by a negative number the answer will be a positive number.
Answer:
From top to bottom:

Step-by-step explanation:
We are given the piecewise function:

Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
