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

The function is decreasing from X=-3 to X=-1. If you look at the values of the function, the value of -3 is 17 and the value at -1 is -3. So if you draw a graph, it'll be a steep decrease to go from 17 all the way down to -3

Answer 2

Answer:

Correct option is:

The function is decreasing from x = −3 to x = −1.

Step-by-step explanation:

x     g(x)

−3   17  

−1   −3  

0    −4  

2     13

g(-3)=17

and g(-1) = -3

17> -3

This means that function is decreasing from -3 to -1

Hence, the correct option is:

The function is decreasing from x = −3 to x = −1.