Use the image to answer the question.

Question

A coordinate plane shows both the axes ranging from negative 12 to 12 in increments of 1. A closed point and an arrow are drawn on the graph. A rightward, decreasing, arrow is drawn from a closed point at left parenthesis negative 7 comma 5 right parenthesis. The arrowhead ends at left parenthesis 6 comma negative 6 right parenthesis.

Describe the domain of the linear function on the graph. Enter the option number of the correct solution.

Option #1: x≥−7


Option #2: x≥6


Option #3: x≤−7


(1 point)
Option #

Answer 1

To find the domain of the linear function represented by the arrow on the coordinate plane, we need to consider the x-values that the arrow represents. The arrow starts at the point \((-7, 5)\) and ends at \((6, -6)\).

Since the arrow starts at \(x = -7\) and moves to the right towards \(x = 6\), the domain of the function includes all x-values from \(-7\) to \(6\), specifically \(x\) values greater than or equal to \(-7\).

The correct option for the domain of the linear function on the graph is:

Option #1: \(x \ge -7\)

So the answer is: 1.