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Question: Which of the following function rules satisfies the graph?



A ) Output = input2
B ) Output = Input + 2
C ) Output = Input - 2
D ) Output = Input2 /2

Steps to derive

1 A function is an entity, which gives the relationship between output and input.

2 From the graph, make a table of input and output values.


3 As the output is half of the square of the input, we can write output = input2 /2.

4 So, the function rule that satisfies the graph is output = input2 /2.



Hence the right answer is Option D

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