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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.
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How do you write ordered pairs from a function table?
The function table will have two columns, one for the x-value and one for the y-value. Form ordered pairs (x,y) by inserting the values from one row of the table.
How do you use a function table?
you use it to calculate numbers
What does the horizontal line tell you about a function?
If the function is a one-to-one function, therefore it has an inverse.
What advantages can you see of having a function rule instead of a table of values?
A table of values is no use if the domain is infinite.
How can you tell by looking at a graph if the represntation is a function?
if a certain abscissa corresponds to more than one ordinate, then it is not a function.
