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instructions use the graph to answer the questions. classify graphs 10 …

Question

instructions
use the graph to answer the questions.
classify graphs
10 multiple choice 1 point
what is the domain of the graph?
$\bigcirc$ $d = \\{0, 1, 2, 3, 4, 5, 6\\}$
$\bigcirc$ $d = \\{1, 6\\}$
$\bigcirc$ $d = \\{1, 2, 4, 6\\}$
$\bigcirc$ $d = \\{1, 3, 4, 5, 6\\}$

Explanation:

Step1: Recall Domain Definition

The domain of a graph (set of points) is the set of all x - coordinates of the points.

Step2: Identify x - coordinates from the graph

Looking at the graph (the plotted points), we need to find the x - values (the horizontal coordinates) of each point. From the graph, the x - coordinates of the points are 1, 2, 4, 6 (assuming we analyze the positions of the dots on the x - axis). Let's check the options:

  • Option 1: \(D = \{0,1,2,3,4,5,6\}\) includes 0, 3, 5 which are not x - coordinates of the plotted points.
  • Option 2: \(D=\{1,6\}\) is too limited, as there are other x - coordinates like 2 and 4.
  • Option 3: \(D = \{1,2,4,6\}\) matches the x - coordinates of the plotted points.
  • Option 4: \(D=\{1,3,4,5,6\}\) includes 3, 5 which are not x - coordinates of the plotted points.

Answer:

C. \(D = \{1,2,4,6\}\) (assuming the options are labeled as A, B, C, D with C being \(D=\{1,2,4,6\}\))