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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 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.
What is a table of ordered pairs that represent solutions of a function?
Use this cordinate ,find the other cordinate that makes the ordered pair a solution of the given equation: x+4y=7,(_,3)
How can you tell that a table is a function?
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 would you find the equation for a linear function when you are given a table of values for the variables?
If the figures in the table are exact and without measurement error then take any two of the points (x1, y1) and (x2, y2) and use these to form the linear relation y - y1 = ((y2 - y1)/(x2 - x1))(x - x1) If, however, you suspect that the values in the table do not exactly follow a linear relationship then use linear regression for which formulae are provided in wikipedia.
