SOLUTION: A rock falls from a clift that is 80 feet high. The function h=-16t^2+80 gives the height of the rock after t seconds. A. Graph the function B. What values make sense for the do

Algebra ->  Rational-functions -> SOLUTION: A rock falls from a clift that is 80 feet high. The function h=-16t^2+80 gives the height of the rock after t seconds. A. Graph the function B. What values make sense for the do      Log On


   



Question 309222: A rock falls from a clift that is 80 feet high. The function h=-16t^2+80 gives the height of the rock after t seconds.
A. Graph the function
B. What values make sense for the domain?
C. What values make sense for the range?

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Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rock falls from a cliff that is 80 feet high.
The function h = -16t^2+80 gives the height of the rock after t seconds.
A. Graph the function
graph%28400%2C300%2C-10%2C20%2C-10%2C100%2C-16x%5E2%2B80%29
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B. What values make sense for the domain?
-16t^2=-80
t^2 = 5
t = sqrt(5)
Domain: 0<= t <= sqrt(5)
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C. What values make sense for the range?
Range: 0<= h <= 80
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Cheers,
Stan H.
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Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Anything to the left of the y-axis doesn't make any sense in the physical world because negative time doesn't make sense. Anything below the x-axis doesn't make any sense unless you have some little elves frantically digging a hole for the rock to fall into.

So the domain is



And the range is




John