A graph is shown in Figure M1W8A-8.1, ◦ symbol signifies that the point is not included in the graph of the function and the • symbol signifies that the point is included in the graph of the function. Choose the correct option.  The graph cannot be a function, because it fails the vertical line test. The graph cannot be a function, because it passes the horizontal line test but fails the vertical line test. The graph can be a function, because it passes the vertical line test. The graph cannot be a function, because it passes the vertical line test but fails the horizontal line test
Answers
Sudha Kulkarni Murthy was born to Dr. R.H. Kulkarni and Vimala Kulkarni in Shiggaon, Karnataka. Sudha Murthy had done her BE in Electrical Engineering from B.V.B College of Engineering and Technology. She obtained first in her class and received the gold medal from the then Karnataka Chief Minister, Sri Devaraj Urs.
After completing her studies, she pursued M.E. in Computer Science from the Indian Institute of Science. She obtained the gold medal from the Indian Institute of Engineers for coming first.
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Answer:
The correct option is: The graph can be a function, because it passes the vertical line test.
Explanation:
The vertical line test is a way to determine if a graph represents a function or not. If any vertical line intersects the graph at more than one point, then the graph fails the vertical line test and is not a function.
Looking at the given graph, we can see that every vertical line intersects the graph at most once. This means that the graph passes the vertical line test and can be a function.
The horizontal line test is another way to determine if a graph represents a function or not. If any horizontal line intersects the graph at more than one point, then the graph fails the horizontal line test and is not a function.
From the given graph, we cannot determine whether the graph passes or fails the horizontal line test as we don't have enough information about horizontal lines. Therefore, we cannot say whether the graph fails or passes the horizontal line test.
So, the correct option is: The graph can be a function, because it passes the vertical line test.
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