Question

instructions
use the graph to answer the questions.
question 11
multiple choice
1 point
what is the range of this graph?
options (visible):

• ( r = {1, 2, 4, 6} )
• ( r = {0, 1, 2, 3, 4, 5, 6} )
• ( r = {0, 1, 6} )
• ( r = {1, 6} )

Explanation:

Step1: Recall the definition of range

The range of a graph (in the context of a relation or function represented by points) is the set of all y - values (outputs) of the ordered pairs.

Step2: Identify the y - coordinates of the points

First, we need to determine the y - coordinates of each plotted point. Let's assume the points (from the graph) have the following coordinates (by looking at the grid):

• Let's list the ordered pairs. From the grid, the points seem to be: (1,1), (3,2), (3,4), (4,3), (4,5), (5,1), (5,6) (we have to interpret the grid correctly, but focusing on y - values). Wait, no, maybe a better approach: the range is the set of all y - values. Let's check the options. The options are about sets of y - values? Wait, no, wait the options:

First option: \( R=\{1,2,4,6\} \)
Second: \( R = \{0,1,2,3,4,5,6\} \)
Third: \( R=\{0,6,9\} \)
Fourth: \( R = \{1,6\} \)

Wait, maybe the graph has points with y - coordinates 1,2,4,6? Wait, no, let's re - examine. Wait, the range is the set of all y - values of the points. Let's look at the plotted points. Let's assume the points are: (1,1), (3,2), (3,4), (4,3), (4,5), (5,1), (5,6)? No, that can't be. Wait, maybe the graph is a set of points where the y - values are 1,2,4,6? Wait, the first option is \( \{1,2,4,6\} \). Wait, maybe the points have y - coordinates 1,2,4,6. Let's check the other options. The second option is all integers from 0 to 6, but if the graph doesn't have points with y = 0,3,5, then that's not it. The third option has 0,6,9 which is not likely. The fourth has only 1 and 6. So the most probable is the first option. Wait, maybe I made a mistake. Wait, the range is the set of y - values. Let's think again. If the points on the graph have y - coordinates 1,2,4,6, then the range is \( \{1,2,4,6\} \).

Answer:

A. \( R=\{1,2,4,6\} \)