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Question: Sketch the graph of y > x2 - 3x - 3 and find whether the point (5, 2) lies inside or outside the graph.


A ) Outside the graph
B ) Inside the graph
C ) Lies on the graph

Steps to derive

1 Draw the graph of the equation y = 3x2 - 3x - 3 that corresponds to the inequality y > 3x2 - 3x - 3.

2 By taking different values of x, values of y are calculated and plot a graph. The graph will obtain as shown below.


3 From the graph, it can be concluded that the point (5, 2) lies outside the graph.



Hence the right answer is Option A

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