Answer:
The interval as observed from the graph where the height of rock is increasing is (0,3).
Step-by-step explanation:
We are given the following in the question:
A rock is thrown from a 52 foot cliff.
The attached image shows the graph of height of rock y units in time x seconds.
Thus, the x-axis represents time in seconds.
The y-axis represents the height of the rock.
We have to find the interval for which the height of rock is always increasing.
Looking at the graph, the height of rock follows a parabolic pattern that is first the height of rock increases, reaches a maximum value and then decreases.
The interval as observed from the graph where the height of rock is increasing is (0,3).
This can be interpreted as:
- From 0 to 3 seconds the height of the rock increases from 52 foot to 180 foot.
- At 3 second the rock is at maximum height that is 180 foot.
- After 3 seconds the height of the rock decreases from 180 foot to 0 foot that is ground level.
