Solved on Nov 02, 2023

Find missing y-values for y=x2y = x^{2} when x=0,1,2x = 0, 1, 2 in the given table: Input (x) | Output (y) -2 | 4, -1 | 1, 0 | ?, 1 | ?, 2 | ?

STEP 1

Assumptions1. The function is y=xy = x^{} . The values of xx we need to find yy for are x=0x =0, x=1x =1, and x=x =

STEP 2

The function y=x2y = x^{2} means that for any given xx, yy is the square of xx. We can use this to find the missing yy-values in the table.

STEP 3

First, let's find the yy-value for x=0x =0. We can do this by substituting x=0x =0 into the function.
y=(0)2y = (0)^{2}

STEP 4

Calculate the yy-value for x=0x =0.
y=(0)2=0y = (0)^{2} =0

STEP 5

Next, let's find the yy-value for x=1x =1. We can do this by substituting x=1x =1 into the function.
y=(1)2y = (1)^{2}

STEP 6

Calculate the yy-value for x=1x =1.
y=(1)2=1y = (1)^{2} =1

STEP 7

Finally, let's find the yy-value for x=2x =2. We can do this by substituting x=2x =2 into the function.
y=(2)2y = (2)^{2}

STEP 8

Calculate the yy-value for x=2x =2.
y=(2)2=4y = (2)^{2} =4

STEP 9

Now that we have found the missing yy-values, we can complete the table.
\begin{tabular}{|c|c|} \hline\text{Input} (x) & \text{Output} (y) \\ \hline-2 &4 \\ \hline- & \\ \hline & \\ \hline & \\ \hline2 &4 \\ \hline\end{tabular}
The missing yy-values in the table for x=x =, x=x =, and x=2x =2 are,, and4 respectively.

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