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OpenStudy (anonymous):
A basketball 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) = -16t^2 + 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?
-0.25 < t < 2
0 < t < 3
1 < t < 2.4
1.4 < t < 3
OpenStudy (anonymous):
@Luigi0210 @dan815
OpenStudy (anonymous):
I am between either 1<t<2.4 or 1.4<t<3
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
use the quadratic formula to solve -16t^2 + 44t + 12 = 0
or use a graphing calculator to find the roots of y = -16t^2 + 44t + 12
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jimthompson5910 (jim_thompson5910):
also keep in mind that t > 0 since negative time values make no sense
OpenStudy (anonymous):
Okay One of the x values is 3
OpenStudy (anonymous):
and the other one is -0.25
jimthompson5910 (jim_thompson5910):
toss out t = -0.25
jimthompson5910 (jim_thompson5910):
keep in mind that t = 0 is the lowest you can go
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OpenStudy (anonymous):
Okay
OpenStudy (anonymous):
So would it be 1.4 < t < 3 @jim_thompson5910
jimthompson5910 (jim_thompson5910):
you can go lower than t = 1.4
OpenStudy (anonymous):
So it owuld be 0 < t < 3 ?
OpenStudy (anonymous):
@jim_thompson5910
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