Question

Choose the intervals where the graph has a decreasing average rate of change.

x = 0 to x = 13

x = 3 to x = 6

x = 4 to x = 8

x = 6 to x = 10

Answer 1

The graph decreases from x = 3 to x = 6.

Explanation:

A decreasing patter happens when the x-values increase while the y-values decrease, and can be seen by a dropping ling.

So, in the graph you can observe that these decreasing patterns are between x=3 and x=6 and x=11 and x=13.

Therefore, the right answer is the second choice.

The graph decreases from x = 3 to x = 6.

Answer 2

• x = 3 to x = 6
• x = 4 to x = 8

Explanation:

The average rate of change will be decreasing when the point on the graph at the left end of the interval is higher than the point on the graph at the right end of the interval.

For the offered intervals, the corresponding (left, right) y-values are ...

[0, 13]: (0, 4) . . . increasing

[3, 6}: (2, 1) . . . . decreasing

[4, 8]: (5, 4) . . . . decreasing

[6, 10]: (1, 6) . . . . increasing