2. Representations of Functions
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Make a function table to obtain ordered pairs.
To graph the function y=9-3x, we will follow two steps.
To make a function table, we will select some values of x which will be part of our domain. Then, we will substitute these values for x to find the corresponding values of y. These x- and y-values will create a set of ordered pairs.
x | 9-3x | y | (x,y) |
---|---|---|---|
0 | 9-3( 0) | 9 | ( 0, 9) |
1 | 9-3( 1) | 6 | ( 1, 6) |
2 | 9-3( 2) | 3 | ( 2, 3) |
3 | 9-3( 3) | 0 | ( 3, 0) |
We found four ordered pairs that lie on the graph of our function.
Next, we will graph the ordered pairs and connect them with a straight line.
The line is the complete graph of the function. The ordered pairs corresponding to any points on the line are solutions of the equation y=9-3x.