Gracie S.

asked • 11/08/19

Rational functions and variations

1.) Explain the transformation of the graph above from the parent function, f(x) = 1/x. Make sure you include an explanation of your thought process. Hint: Check the graph carefully for a stretch or shrink as one of the transformations.

rational function graph

2. The force required to move an object by a lever and fulcrum varies inversely with the distance from the fulcrum that the force is applied. If the force required to move the rock at a distance of 9 feet is 80 lbs, what would be the force required with a distance of 15 feet? Explain your thought process.

fulcrum diagram


1 Expert Answer

By:

Mark H. answered • 11/08/19

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Gracie S.

What about number 2?
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11/10/19

Mark H.

#2: The moment will be the same. The moment is the product of the force and the length of the lever arm--in this case, 9*80 = 720 ft-lbs
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11/10/19

Gracie S.

It’s an inverse model and a fulcrum works differently for number 2. For number one can you explain the transformations for me please
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11/14/19

Mark H.

Number 2: The moment (torque) is 720 ft-lbs. With the 15-foot lever arm, the required force is less----it will be 720/15 Number 1: Which part of my explanation did you not understand? You might want to sketch in the parent function, which is simply y = 1/x
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11/14/19

Hunny M.

no for number 2, it isn't a 15 foot lever arm system. its asking what amount of force you need in order to get the bolder a distance of 15 feet
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10/26/21

Hunny M.

if the amount of force to get to 9 feet is 80 then how much force do you need to get the bolder 15 feet
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10/26/21

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