3. Graphing Proportional Relationships
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Make a table of values to obtain ordered pairs.
To graph the function y=4x, 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 | 4x | y | (x,y) |
---|---|---|---|
- 1 | 4( - 1) | - 4 | ( - 1, - 4) |
0 | 4( 0) | 0 | ( 0, 0) |
1 | 4( 1) | 4 | ( 1, 4) |
We found three 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.