Answer:
We have the following function:
x g(x)
−2 2
−1 −3
0 2
1 17
And the following statements:
(A)The function is increasing from x = −2 to x = −1.
(B)The function is increasing from x = 0 to x = 1.
(C)The function is decreasing from x = −1 to x = 0.
(D)The function is decreasing from x = 0 to x = 1.
Option A is false. Because from x=-2 to x=-1, the function is degresing given that for x=-2, g(x) = 2 and for x=-1 the value of g(x) decreases.
Option C is false. Because from x=-1 to x=0 the value of g(x) goes from -3 to 2. Therefore it increases.
Option D is false. from x=0 to x=1 the value of g(x) goes from 2 to 17. Therefore it increases.
The correct answer is OPTION B.
