Answer:
To graph the function f(x) = 3x - 7, we can start by making a table of values. We can choose some values of x and calculate the corresponding values of f(x) by plugging in x into the function and simplifying.
x | f(x)
----|-----
-2 | -13
-1 | -10
0 | -7
1 | -4
2 | -1
Now, we can plot these points on the coordinate plane and connect them with a straight line to get the graph of the function:
```
|
3 | *
| *
2 | *
|*
1 *
------*----------->
|
-1 |
|
-2 |
|
|
```
The graph of f(x) = 3x - 7 is a straight line with slope 3 and y-intercept -7. The slope tells us that the line is increasing as x increases, and the y-intercept tells us where the line crosses the y-axis.
Explanation: