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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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.
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.
In general, it is not possible to tell from a table. The determination must come from considering the relationship between the two and sometimes even then it is not possible to tell. Sometimes pairs of variables are linked together in a feedback loop so that a change in one causes the other to change which, in turn, affects the first, and so on - for ever.
A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.
you can tell if there is an independent (x) and a dependent (y) variable
A function is linear if one variable is directly proportional to the other.