or

Question

Complete the table for the function y=7x.
x y
–
1
0
1
2
Now, graph the function.
Plot two points to graph the function.
0
-
1
1
-
2
2
-
3
3
-
4
4
-
5
5
-
6
6
-
7
7
-
8
8
1
-
1
2
-
2
3
-
3
4
-
4
5
-
5
6
-
6
7
-
7
8
-
8

Answer 1

To complete the table for the function \( y = 7x \), we need to plug in the different values of \( x \) into the function to find the corresponding \( y \) values.

Here's the table filled out:

| x | y | |----|----| | -1 | -7 | | 0 | 0 | | 1 | 7 | | 2 | 14 |

Graphing the Function

Now we can plot two points from the completed table:

1. For \( x = 0 \), \( y = 0 \): point (0, 0)
2. For \( x = 1 \), \( y = 7 \): point (1, 7)

Here's a simple representation of the graph for the function \( y = 7x \):

  |
  | 
  |          *
  |        
  | 
  |
  |
--|----------------
  |         *
  | 
  |
  |

In this representation:

• The point (1, 7) is plotted as *.
• The point (0, 0) is on the origin.
• The line will extend through these points as it is a linear function.

Additional Points

You can also consider plotting more points (like (2, 14)), which would give a more complete view of the linear function. But for the brief plotting requirement, we focused on (0, 0) and (1, 7).

Make sure to scale your axes appropriately if you want to plot more points beyond what’s shown in this simple ASCII representation! The slope of the line is steep since y increases rapidly with x.