Question

select the correct answer.this table represents values of a cubic polynomial function.x y-2 -12-1 00 61 7.52 63 3based on the information in the table, which sentence best describes the interval -2, 1?a. the function is constant on the interval -2, 1.b. the function is increasing on the interval -2, 1.c. the function is decreasing on the interval -2, 1.d. the function is both increasing and decreasing on the interval -2, 1.

Explanation:

Step1: Track y-values over [-2,1]

From $x=-2$ to $x=1$: $y$ goes from $-12 \to 0 \to 6 \to 7.5$

Step2: Analyze trend of y-values

Each subsequent $y$-value is larger than the prior one.

Answer:

B. The function is increasing on the interval [-2, 1].