A graph can increase or decrease at an interval or several intervals
- The interval with the longest curve or line represents the greatest change.
- The intervals with the greatest rate of change are ab and de
- The intervals with the least rate of change are bc and cd
- The intervals with the equal rates of change are ab and de
Part A: How to determine the longest interval
The longest interval will have a great change in the y-values, and a small change in the x-values.
An instance of such interval is interval ab
Part B: Intervals with the greatest rate
Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.
Hence, intervals ab and de have the greatest rate of change
Part C: Intervals with the least rate
Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,
Hence, intervals ab and de have the least rate of change
Part D: Intervals with the equal rate
As said in (b) and (c),
- Intervals ab and de have equal rates
- Intervals bc and cd have equal rates
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