Question

A function is shown in the table.

x g(x)
−3 17
−1 −3
0 −4
2 13


Which of the following is a true statement for this function?
The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.

Answer 1

D

Explanation:

took the test

Answer 2

Given:
x g(x)
−3 17
−1 −3
0 −4
2 13

The true statement for the given function is:
The function is decreasing from x = −3 to x = −1.

As you can see, when x = -3 the corresponding value of the function is 17 but when x = -1 the corresponding value is -3. There is a decrease of 20. → 17 - 20 = -3