Respuesta :
Answer:
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, ∞).
The range of g(x)=3|x-1|-1 is [-1,∞) i.e. option B is correct.
What is range?
The set of all the outputs of a function is known as the range of the function .
According to the given question
we have,
A function, g(x) = 3|x-1| - 1
Lets, find the value of g(x) for the different values of "x"
when,
x=0 ⇒ g(0) = -1
x=1 ⇒ g(1) = -1
x=2 ⇒g(2) = 2
Similarly, we can check for the negative values of x.
So, for all the negative values of x we will gives only positive values for g(x) and only at x=0, g(x) = -1 , which is its minimum value .
⇒ The range of given function g(x) is {-1,∞).
Hence , option B is correct.
Learn more about the range here:
https://brainly.com/question/17553524
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