1)
The function h(t)=−16t2+98t
graphed below shows the height, in feet, of a kicked soccer ball as a function of time, in seconds.
A reasonable domain of the function is
(1 point)
Responses
{t| 2≤t≤66}
{t| 0≤t≤66}
{t| 0≤t≤4.1}
The reasonable domain of the function is {t| 0≤t≤4.1}.
This is because the height of the soccer ball is only relevant for positive values of t (since time cannot be negative), and the graph shows that the height reaches 0 at t=4.1 seconds. Therefore, any values of t that are less than 4.1 seconds, such as t=0, t=1, t=2, etc., would be within the reasonable domain.