http://i47.tinypic.com/2w32poj.png
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9.y=4x+3 This is a function.
11. This is NOT a function, because for every x, y doesn't follow the rule.
11. This is NOT a function, because for every x, y doesn't follow the rule.
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A relation is a function if each valid value for x corresponds to only one value for y.
You can think of it as a machine: put in x, get out y.
A relation is NOT a function if knowing x is not enough to tell you what y is.
An equation that defines y in terms of x IS a function.
(an equation that defines x in terms of y might not be a function, if you can't solve for y).
A set of ordered pairs is a function if there is only one ordered pair for each value of x.
You can think of it as a machine: put in x, get out y.
A relation is NOT a function if knowing x is not enough to tell you what y is.
An equation that defines y in terms of x IS a function.
(an equation that defines x in terms of y might not be a function, if you can't solve for y).
A set of ordered pairs is a function if there is only one ordered pair for each value of x.
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9 is and 11 is not.
For something to be a function, each element of the domain (x - values) must correspond to one and only one value of the range.
For something to be a function, each element of the domain (x - values) must correspond to one and only one value of the range.