Question

given the function below, fill in the table of values and use the table values to graph.

$y = 5$

$x$	$y = 5$
$-2$
$-1$
$0$
$1$
$2$
$3$

Explanation:

Step1: Analyze the function

The function is \( y = 5 \), which is a constant function. This means that for any value of \( x \), the value of \( y \) will always be 5.

Step2: Fill in the table

For each \( x \)-value (-3, -2, -1, 0, 1, 2, 3), the corresponding \( y \)-value is 5. So we fill each cell in the \( y = 5 \) column with 5.

Answer:

For \( x=-3 \), \( y = 5 \); for \( x=-2 \), \( y = 5 \); for \( x=-1 \), \( y = 5 \); for \( x=0 \), \( y = 5 \); for \( x=1 \), \( y = 5 \); for \( x=2 \), \( y = 5 \); for \( x=3 \), \( y = 5 \). The filled table is:

\( x \)	\( y = 5 \)
-2	5
-1	5
0	5
1	5
2	5
3	5