Abasketball is thrown upwards. the height f(t), in feet, of the basketball at time t, in seconds, is given by the following function: f(t) = −16t2 + 44t + 12 which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

Reasonable domain is [1.375,3].

Step-by-step explanation:

Given function is .

Now we need to find about what is the reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground.

Compare with , we get a=-16 and b=44

then t-coordinate of vertex

Then that means maximum height of the ball occurs when time t=1.375 seconds.

Now let's find time when ball falls on ground so set f(t)=0

or

or

or

Time can't be negative so we use t=3 only

Hence reasonable domain is [1.375,3].