1. Areas of Parallelograms
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Make a function table to find some ordered pairs.
To graph the function y=x+3, we will follow two steps.
Let's do these things one at a time. 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 into the function for x to find the corresponding values of y. These x- and y-values will create a set of ordered pairs.
| x | x+3 | y | (x,y) |
|---|---|---|---|
| - 2 | ( - 2)+3 | 1 | ( - 2, 1) |
| - 1 | ( - 1)+3 | 2 | ( - 1, 2) |
| 0 | ( 0)+3 | 3 | ( 0, 3) |
| 1 | ( 1)+3 | 4 | ( 1, 4) |
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=x+3.