Algebra-1

B. Domain: (-∞, ∞); Range: [1, ∞)

The expression |x - 2| represents the absolute value of (x - 2), which means it will always be non-negative. It will be equal to (x - 2) when x is greater than or equal to 2, and it will be equal to -(x - 2) when x is less than 2.

Adding 1 to |x - 2| ensures that the range starts from 1.

Now let's analyze the domain and range:

Range: (-∞, ∞) represents all real numbers, so option A is incorrect.

Option C suggests that the domain is (-∞, ∞), whi...