To find the missing value for the function \( f(x) = x^2 \), we can use the given values in the table.
We see that the function \( f(x) = x^2 \) tells us that for any input \( x \), the output \( y \) is equal to \( x \) squared.
From the table, we have the following pairs:
- For \( x = -2 \): \( f(-2) = (-2)^2 = 4 \), but it says \( y = 0 \), which seems inconsistent. Let's ignore that for calculation for now.
- For \( x = -1 \): \( f(-1) = (-1)^2 = 1 \) (this matches, as \( y = 1 \)).
- For \( x = 0 \): \( f(0) = 0^2 = 0 \) (this does not match the output of 4).
- Now we need to find \( y \) when \( x = 1 \): \( f(1) = (1)^2 = 1 \).
Thus, the missing value when \( x = 1 \) is \( y = 1 \).
So the final entry would be:
\( 1 ; | ; 1 \)
To summarize:
When \( x = 1 \), the corresponding \( y \) value is \( 1 \) according to \( f(x) = x^2 \).