Question

Part B: During what interval(s) of the domain is the baseball's height staying the same? (2 points)

Your answer
Part C: During what intervals) of the dorkain is the baseball's height decreasing the fastest? Use complete sentences to support your answer.
6 < x < 8; the slope is the steepest for this interval
8 < x < 10; the slope is the steepest for this interval
6 < x < 10; the slope is decreasing for this interval
6 < x < 12; is where the slope is decreasing
Part A: During what interval(s) of the domain is the baseball's height increasing?

Answer 1

Part A = (0, 2)

Part B = (2, 6)

Part C = (6, 8)

Explanation:

Part A:

Observation of graph demonstrates that in first 2 seconds height of the baseball is increasing = (0, 2)

Part B:

Observation of graph demonstrates that in the interval (2, 6) height of the baseball remains the same = (2, 6)

Part C:

interval (6, 8) has the steepest decreasing slope, baseball's height decreases the fastest in that interval = (6, 8) (you can also find the slope of line and check it's magnitude of slope is more than that of in the interval (8, 10).)

Hopefully this answer helped you!!

Answer 2

Step-by-step explanation

what does it mean for an object to stay at the same height ?

come on, you cannot tell me you don't understand this.

it means that e.g. the object is at a certain height (e.g. 50 ft above the ground) at the beginning of a time interval. then 1 seconds later it is still at the same height. 1 seconds after that it is still at this height. and so on.

how do you think that shows on a chart that displays height on an up or down scale ? as a flat (horizontal) line.

the chart is simply a rough picture of what the object does in real life.

so, where do we have flat (horizontal) segments in the curve ?

between second 2 and second 6.

and then infinitely after second 12.

in interval notation

[2, 6] and [12, +infinity)

please note the round bracket on the infinity side. it means the indicated end of the interval is not included. that is, because infinity is just a concept and not a number. it can never be reached. and it is therefore not included in the interval itself.

FYI - the flat line between second 2 and second 6 is not possible in real life, unless it rolls on a flat surface or something is holding it steady in place for these 4 seconds.

but a flying ball can never have a pure flat curve regarding height. only when it comes at rest on the ground. gravity would not allow that. not even for a bullet shot by a gun.