What is the range of the function f (x) = |x - 1| - 2? All real numbers all real numbers less than or equal to - 2 all real numbers less than or equal to 1 all real numbers greater than or equal to - 2

The range of the function is all real numbers greater than or equal to - 2

Step-by-step explanation:

The range are all the values that f (x) can take.

f (x) is equal to:

f (x) = |x - 1| - 2

The absolute value of any number is always greater than or equal to 0. it means that the minimum value that |x - 1| can take is 0.

So, the minimum value that f (x) can take is - 2 and it is calculated as:

f (x) = |x - 1| - 2

f (x) = 0 - 2

f (x) = - 2

Therefore, f (x) can just take values greater than or equal to - 2.