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Can you can use rational functions to study the relationships of inverse variation?

yes


You can use rational functions to study the relationships of inverse variation?

True


IS the rational function to study the relationships of inverse variation?

A study of inverse relationships is one of a very large number of uses for rational functions. Only a rational function of a very special kind will be of any use.


What is the inverse variation?

The inverse variation is the indirect relationship between two variables. The form of the inverse variation is xy = k where k is any real constant.


What is general shape of a graph of an inverse variation relationship?

Cartestian plane


In the inverse variation function what happens to the output when the functions input is doubled?

the output is halved


What is the variation constant for an inverse squared relationship where we know x-4 and y3?

9


In the inverse variation function what happens to the output when the functions input is multiplied by 3?

the output is divided by 3.


What is the relationship between squared and square root?

They are inverse functions of each other.


In the inverse variation function what happens to the output when the functions input value is multiplied by 4?

the output is divided by 4


How do you do a direct variation with an inverse variation problem?

If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).


Is the product of a number and its multiplicative inverse always a rational number?

If the multiplicative inverse exists then, by definition, the product is 1 which is rational.