Question

Complete the table and graph the function
y=6

x y
-9 ?
1 ?
6 ?
8 ?

Answer 1

The function you provided, \( y = 6 \), is a constant function. This means that for any value of \( x \), \( y \) will always equal 6.

Here’s the completed table:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-9 & 6 \\
1 & 6 \\
6 & 6 \\
8 & 6 \\
\hline
\end{array}
\]

Now, to graph the function \( y = 6 \):

### Graph:
- The graph is a horizontal line at \( y = 6 \).
- This line extends indefinitely in both directions along the \( x \)-axis.

If you were to plot points:
- At \( x = -9 \), \( y = 6 \)
- At \( x = 1 \), \( y = 6 \)
- At \( x = 6 \), \( y = 6 \)
- At \( x = 8 \), \( y = 6 \)

You would place points on the graph at these coordinates and draw a horizontal line across at \( y = 6 \).

### Visual Representation of the Function:
```
y
^
| ------------------------------
| | |
| | |
|--------|-------------------------------> x
| -9 0 1 6 8
|
| (line at y=6)
```

The line represents \( y = 6 \) for all values of \( x \).