What is the range of g (x) = 3|x - 1| - 1? A. (-∞, 1] B. [-1, ∞) C. [1, ∞) D. (-∞, ∞)

Question

Mathematics

Hana

24 March, 12:38

What is the range of g (x) = 3|x - 1| - 1? A. (-∞, 1] B. [-1, ∞) C. [1, ∞) D. (-∞, ∞)

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Trevino · Answer 1

B. [-1, ∞).

Step-by-step explanation:

g (x) = 3|x - 1| - 1

When x = 1 g (x) = 3 (0) - 1 = - 1.

As all negative vales of x will give positive values of |x - 1| then g (x) = - 1 is its minimum value. The graph will be shaped like a letter V with the vertex at (1,-1).

Therefore the range is [-1, ∞).