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If all the values of the "independent" variable (x) are different then it is a function.

If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.

If all the values of the "independent" variable (x) are different then it is a function.

If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.

If all the values of the "independent" variable (x) are different then it is a function.

If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.

If all the values of the "independent" variable (x) are different then it is a function.

If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.

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10y ago

If all the values of the "independent" variable (x) are different then it is a function.

If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.

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Q: How can you tell if a table of values represents a function?
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How can you tell whether a table of values represents a quadratic function?

Unless the operands form an arithmetic sequence, it is not at all simple. That means the difference between successive points must be the same. If that is the case and the SECOND difference in the results is constant then you have a quadratic.


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I assume we are talking single-valued functions. If this is the case, any table with values for the function, you just have to look at the inputs to make sure two of them are not the same (in elementary algebra classes this is referred to as the "Vertical Line Test"). For example, say we have a table of numbers x and y: x | y ------ 10|15 12|15 This is a function because all the x values are different. Likewise we can say that were the table: x | y ------ 15|10 15|12 it would not be a function because we have multiple outputs originating from a single input.


How can you tell something is a function when you are given values of the function?

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How do you complete the tale of ordered pairs for the function y equals 5?

You really don't need a table. The 'function' [ y = 5 ] is trying to tell you that itdoesn't matter what 'x' is. 'Y' is simply always 5 .If you absolutely must have a table, then OK. Make a list of two or ten or thirteendifferent values for 'x', and for each and every one of them, the 'y' value is 5 .Now, do you think you could draw the graph of the function ! ?


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How do you tell if a graph is a function?

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