Examine the graph.

Question

Select all intervals where the graph is decreasing.

Responses

−3<x<−2
negative 3 less than x less than negative 2

​ 0<x<1 ​
​ 0 less than x less than 1 ​

​ 2<x<3 ​
​ 2 less than x less than 3 ​

​ −1<x<0 ​
​ negative 1 less than x less than 0 ​

Answer 1

To determine the intervals where the graph is decreasing, you would look for sections of the graph where the y-values decrease as the x-values increase. Since I can't actually see the graph you are referring to, I can provide guidance on how to identify those intervals.

1. Look at the segments of the graph and see where the graph slopes downward as you move from left to right.
2. Identify the x-intervals where the y-values are falling.

Once you identify those segments, you can choose the corresponding intervals from the responses you've provided:

• If the graph is decreasing in the interval \(-3 < x < -2\), select that.
• If it is decreasing in the interval \(0 < x < 1\), select that.
• If it is decreasing in the interval \(2 < x < 3\), select that.
• If it is decreasing in the interval \(-1 < x < 0\), select that.

Please examine the graph accordingly and select the intervals where the graph is clearly sloping downwards.