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

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, ∞).

answer:

Graphing the related system means that you do not have to rewrite the equation to set it equal to 0. It is easier because you can just graph each side of the equation.

Sometimes it is difficult to locate the intersection point for the system. You might have to zoom in a lot or figure out how to resize the window. Using the related function lets you focus on the x-axis to find the points.