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Complete the table and find the rule: Input [x]: 1, 2, 4, (missing value) Output [y]: 1, 4, 9, 25
Mathematics
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Answer
To complete the table and find the rule, we need to identify the relationship between the input $[x]$ and the output $[y]$.
The given values are:
Input : 1, 2, 4, (missing value)
Output : 1, 4, 9, 25
Step 1: Analyze the outputs.
Notice that the outputs are perfect squares:
Let be the base of the square, so . We can list the corresponding values:
For $x=1
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