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An inverse variation function describes a relationship between two variables where one variable increases as the other decreases, and their product remains constant. Mathematically, it can be expressed as ( y = \frac{k}{x} ), where ( k ) is a non-zero constant. This indicates that if ( x ) doubles, ( y ) will be halved, maintaining the constant product ( k ). Inverse variation is often seen in scenarios like physics, where certain quantities are inversely related, such as speed and time for a fixed distance.
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Does the function y equals 8x represent a direct or inverse variation?
Direct
What happens to the output when the function's input value is divided by 3 In the inverse variation function?
The output is three times as large.
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.
Is it true in an inverse variation function as x gets father from 0 to the right y gets closer to 0?
It is true that if when x is getting larger, y is getting smaller, that would be an inverse relationship.
Is y equals 24 divided by x a direct variation?
No, this is an inverse variation.
In the inverse variation function what happens to the output when the function's input is halved?
The output is doubled.
Does the function y equals 8x represent a direct or inverse variation?
Direct
In the inverse variation function what happens to the output when the function's input is multiplied by 3?
the output is divided by 3.
In the inverse variation function what happens to the output when the function's input value is divided by 3?
The output is tripled.
In the inverse variation function what happens to the output when the functions input is doubled?
the output is halved
In the inverse variation function what happens to the output when the function's input value is divided by 5?
The output is multiplied by 5.
In the inverse variation function, what happens to the output when the function's input value is divided by 5?
The output is multiplied by 5.
In the inverse variation function what happens to the output when the function input value is divided by 3?
The output is multiplied by 3.
What happens to the output when the function's input value is divided by 3 In the inverse variation function?
The output is three times as large.
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.
In the inverse variation function what happens to the output when the functions input is multiplied by 3?
the output is divided by 3.
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).
