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3 years ago

5

How easily can you determine if a relation is a function?

1 answer:

valkas [14]3 years ago

8 0

Finally, a math question I can solve! You can determine if a relation is a function if you first understand what a relation is: A collection of ordered pairs.

Example:
(4,2),(2,2),(12,0), (9,1) etc.
Ordered pairs consist of input (x) values and output (y) values. In the example (4,2), four would be the x or input value. 2 would be the y or output value.

Once you understand that, all you need to do is look at YOUR specific relation. Look at all the x values in your relation. Are there two of the same input values? If this is the case, your relation is NOT a function. That's how easy it is :)

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We can now introduce our constant of variation and write the equation for the direct equation as;

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We substitute $D=20$ and $T=15$ , in to the equation of variation to obtain the constant of proportionality.

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This implies that,

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This simplifies to give us,

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This can also be rewritten as

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