A rock is thrown upwards from the edge of a 52 foot cliff and eventually falls to the ground. The graph below shows the height,y, of the rook from the ground after x seconds.
For which interval is the rock’s height always increasing?
0 < x < 3
0 < x < 6
3 <= x <= 6
x>= 0
To determine the interval during which the rock's height is always increasing, we need to look for the intervals where the graph is always moving upwards.
Looking at the graph, we can see that the rock's height is increasing during the interval 0 < x < 3 and also during the interval 3 <= x <= 6.
Therefore, the correct answer is:
0 < x < 3 and 3 <= x <= 6