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Create a table whose y-values are the square of the x-values.

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Answer:

To create this table, first, you must find the values of x that you want to use, in this case, i will use the set:

{1, 2, 3, 4, 5, 6}

Now, first make a table as:


\left[\begin{array}{ccc}x&y\\1&\\2&\\3&\\4&\\5&\\6&\end{array}\right]

Now we need to complete the values of y.

we know that y(x) = x^2

then when we have x = 1, y(1) = 1^2 = 1.

when x = 2, y(2) = 2^2 = 4.

and so on, you input the values of x in the function y = f(x) = x^2

and the values of y are recorded in the table.

f(1) = 1^2 = 1

f(2) = 2^2 = 4

f(3) = 3^2 = 9

f(4) = 4^2 = 16

f(5) = 5^2 = 25

f(6) = 6^= 36

Then the completed table is:

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