Question

Select the correct answer.

What is the range of g(x) = 3|x-1| - 1
a) (-♾,1)
b) (-1,♾)
c) (1,♾)
d) (-♾,♾)

Answer 1

Minimum value of g(x) is when x=1, where y=-1
No maximum value
Therefore B) is correct

Answer 2

b) [-1, ∞)

Explanation:

The V-shaped graph opens upward from its vertex at (1, -1). Its range is its vertical extent:

[-1, ∞)

The value -1 is part of the range. Choice B is close, but does not use the correct bracket for the lower end of the interval.