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Pairs - Functions or Non-Functions

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Solving Equations with Two Variables: I need to know if each of these example pairs is a function or a non-function and why.

y = -2x + 3, y = 2x +2, y = 4 and x = 3.

Thanks
Cheryl

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Solution Summary

Each of the given equations is analyzed to determine whether the set of ordered pairs it represents is or is not a function. The reasons are explained in detail.

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The first set of ordered pairs is {(x, y): y = -2x + 3}. This is a function, since for every x, there is exactly one y such that y = -2x + 3. (For a given value of x, you get that value of y by multiplying the value of x by -2, and then adding 3 to the result.)

The second set of ...

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Georgia Martin, PhD
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  • AB, Hood College
  • PhD, The Catholic University of America
  • PhD, The University of Maryland at College Park
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