1.Find a rule for the following table. Write your rule as a 2.sentence relating the input and the output.Explain why it is not possible to find a rule for the followingtable.Rule:InputOutput-24InputOutput395963629-2939864119Explanation:No output39

Answer
For the first table, a careful observation shows that the number of sides of the figure determines the output.
The output seems to be
Output = [(number of sides of the figure) - 1] placed before 9
Going through it all, we will see that this rule works. And the circle has no output because the number of sides of a circe is literally infinity, so, it isn't possible to obtain an output for that.
For the second table, it is almost impossible to find a rule for this because the same input (-2) gives two different outputs (4 and 9). This shows that this relation isn't a function.
A function is an expression that takes up each value of an independent variable (x) and gives a corresponding value of a dependent variable (y) without the same values of the independent variable (x) giving different values of the dependent variable (y).
Table 2 has the same values of the independent variable or the input (-2) giving different values of the dependent variable or output (4 and 9).
Hope this Helps!!!