Question

Please help!!!!

The graph represents the height y, in meters, above a lake of a rock x seconds after it is thrown from a ledge.

Which statements are true?

Select EACH correct answer.


The rock reaches a maximum height of 38 m.

The rock reaches a maximum height of 43 m.

The height of the rock is decreasing for 2 s.

The rock travels at 4 m/s .

The rock is in the air for 4 s.

Answer 1

The rock reaches a maximum height of 43 m:
For this case, when observing the graph we see that for the time t = 1 the rock reaches its maximum height.
The maximum height of the rock is 43 meters.

The rock is in the air for 4 s:
What you should observe is the domain of the function.
The domain is the values of the horizontal axis.
The domain is [0, 4]
Therefore, the height is 0 when the time is t = 4.