Answer
The range of the function is
y ≥ 1
Or better put
1 ≤ y < ∞
Step-by-step explanation
The range of a function refers to the region of values where the function can exist. It refers to the values that the dependent variable [y or f(x)] can take on.
The function given is\
f(x) = |3x - 1| + 1
From this function, the absolute value sign ensures that the term |3x - 1| is always equal or greater than 0. So, the function f(x) can only take on values from 1 till infinity.
Since, we are now sure that the function can only take on values from y = 1 till indinity, we can represent this with inequality as
(The function) ≥ 1 (that is, 1 and above)
So, the range of the function is
y ≥ 1
Or better put
1 ≤ y < ∞
Hope this Helps!!!