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question given the function below, fill in the table of values and use …

Question

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 -1 to 6, grid lines, and a try button below the graph)

answer
attempt 1 out of 3

Explanation:

Step1: Understand the function

The function is \( y = 5 \), which is a horizontal line. For any value of \( x \), \( y \) is always 5. So the table is already filled correctly as each \( x \) (from -3 to 3) has \( y = 5 \).

Step2: Graph the points

To graph, plot the points \((-3, 5)\), \((-2, 5)\), \((-1, 5)\), \((0, 5)\), \((1, 5)\), \((2, 5)\), \((3, 5)\) on the coordinate plane. Since all these points have the same \( y \)-coordinate (5), the graph is a horizontal line passing through \( y = 5 \), parallel to the \( x \)-axis.

Answer:

The table is filled with \( y = 5 \) for all given \( x \)-values. The graph is a horizontal line at \( y = 5 \) passing through the plotted points \((-3, 5)\), \((-2, 5)\), \((-1, 5)\), \((0, 5)\), \((1, 5)\), \((2, 5)\), \((3, 5)\).