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A direct variation between two variables, X and Y, may be expressed in the form

Y = c*X where c is some known, constant.

This is a mapping from the set of values of X to the set of values of Y such that for each value of X there is only one value of Y - which is c*X. Such a relationship is a function.

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Q: How is a direct variation a function?
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Related questions

Is y9x 1 a direct variation function?

No.


Is a linear function a direct variation?

yes * * * * * No, it is not. In a direct variation, if one of the variables is 0, the other MUST also be 0. In a linear function, they will be the intercepts.


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Direct variation means that a linear function can be written as y = kx. The y-intercept must be (0, 0). The constant, k, is the slope.


Is the direct variation of two variables always a linear function?

YES...A direct variation is a linear relationship in which y-intercept is always 0.


What does k correspond to in a direct variation function?

k is the constant of variation and is the gradient (slope) of the relevant graph.


Which of the following represents a direct variation function?

Any function of the form Y = cX where X and Y are variables and c is a constant.


How does the constant of variation affects the appearance of the graph of a direct variation function?

The formula direct variation is xk=y, where k is the constant of variation.Direct variation functions always pass through the origin. Direct variation functions are linear functions (goes in a straight line), except that they pass through the origin. Regular linear functions don't pass through the origin. That is the only difference.


What does the math term direct variation mean?

Two variables, X and Y, are in direct variation if Y = kX for some constant k. The graph of Y as a function of X will be a straight line through the origin.


When two quantities form a direct variation what is it called?

A direct variation (!) or direct reelationship.


Is direct variation a special case?

Direct variation is not a special case.