A Table of Selected Values for a Function Is Given

A table of selected values for a function is given. Also shown are tables of values for the derivative and the accumulation function with 0 as the starting point. Determine which table contains the values of the derivative, , and which contains the values of the accumulation function, . Justify your choice.

A) Table 1 contains the values of because f is decreasing and the output values are negative.
Table 2 contains the values of because its output is close to the cumulative sum of .
B) Table 1 contains the values of because f is decreasing and the output values are negative.
Table 2 contains the values of because cannot be negative.
C) Table 1 contains the values of because its output is close to the cumulative sum of .
Table 2 contains the values of because f is decreasing and the output values are negative.
D) Table 1 contains the values of because the sign of the output does not change.
Table 2 contains the values of because the output changes sign.
E) Table 1 contains the values of because the magnitude of the output keeps increasing.
Table 2 contains the values of because the output changes sign.