Complete the table for the function y=6x.

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Now, graph the function.
Plot two points to graph the function.
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Answer 1

To complete the function table for \( y = 6x \), we will calculate the values of \( y \) for the given \( x \) values: \(-1\), \(0\), \(1\), and \(2\).

Table Completion:

| \( x \) | \( y = 6x \) | |----------|----------------| | -1 | \( 6 \cdot (-1) = -6 \) | | 0 | \( 6 \cdot 0 = 0 \) | | 1 | \( 6 \cdot 1 = 6 \) | | 2 | \( 6 \cdot 2 = 12 \) |

Completed Table:

| \( x \) | \( y \) | |----------|-----------| | -1 | -6 | | 0 | 0 | | 1 | 6 | | 2 | 12 |

Graphing the Function:

Now, we will plot the calculated points:

• For \( x = -1 \), \( y = -6 \) → Point: \((-1, -6)\)
• For \( x = 0 \), \( y = 0 \) → Point: \( (0, 0) \)
• For \( x = 1 \), \( y = 6 \) → Point: \( (1, 6) \)
• For \( x = 2 \), \( y = 12 \) → Point: \( (2, 12) \)

Selected Points for Graphing:

1. Point \( (0, 0) \)
2. Point \( (1, 6) \)

To graph this function, you would plot these points on a coordinate plane, with \( x \) values represented on the horizontal axis and \( y \) values on the vertical axis. The graph of the function \( y = 6x \) will be a straight line that passes through the origin (0, 0) and rises steeply due to the slope of 6.