Question

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

$y = -5$

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

(graph with x-axis from -5 to 5 and y-axis from -6 to 1)

Explanation:

Step1: Analyze the function

The function is \( y = -5 \), which is a horizontal line. For any value of \( x \), \( y \) remains \(-5\).

Step2: Plot the points

Using the table values \((-3, -5)\), \((-2, -5)\), \((-1, -5)\), \((0, -5)\), \((1, -5)\), \((2, -5)\), \((3, -5)\), we plot these points on the coordinate plane. Each point has a \( y \)-coordinate of \(-5\) and different \( x \)-coordinates.

Step3: Draw the line

Connect the plotted points. Since all points have the same \( y \)-value, the graph is a horizontal line parallel to the \( x \)-axis passing through \( y = -5 \).

Answer:

The table is already filled correctly with \( y = -5 \) for all given \( x \)-values. To graph, plot the points \((-3, -5)\), \((-2, -5)\), \((-1, -5)\), \((0, -5)\), \((1, -5)\), \((2, -5)\), \((3, -5)\) and draw a horizontal line through them at \( y = -5 \).