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Question: Sketch the graph of y ≤ 2x2 - 4x - 3. Plot and label the points A (1, 3), B (2, 5), and C (3, 2). Determine whether each point lies inside or outside the graph.


A ) C, B lies inside A lies outside
B ) A, B lies inside C lies outside
C ) A, B, and C lies inside the graph
D ) A, C lies inside B lies outside

Steps to derive

 [Original Inequality.]
1 y ≤ 2x2 - 4x - 3

2 Graph of the inequality is:


3 From the graph it can be concluded that A, B lies inside the graph and point C lies outside the graph.



Hence the right answer is Option B

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