-2 -> 4

-1 -> 1
0 -> 0
1 -> 1
[response] -> 4

This map shows ordered pairs that belong to the function f (x) = x^2 What is the missing value

1 answer

The function you provided is \( f(x) = x^2 \).

To find the missing value corresponding to the input \([response]\) where \( f(x) = 4 \), we need to determine what input value \( x \) gives us an output of 4.

From the function:

\[ f(x) = x^2 = 4 \]

To solve for \( x \), we take the square root of both sides:

\[ x = \pm 2 \]

This means that both \( x = 2 \) and \( x = -2 \) will give an output of 4.

Since the format you've used suggests we are looking for an input for which the output is 4, we can use either of the inputs:

  • If we use \( x = 2 \), then \( f(2) = 2^2 = 4 \)
  • If we use \( x = -2 \), then \( f(-2) = (-2)^2 = 4 \)

Therefore, the missing value for \([response]\) could be either \( 2 \) or \(-2\). Given the context, it could depend on which input you want, but either value is correct.