Let's solve the given problem step by step.
1. Identify the x-values and y-values:
- From the table provided, we have the x-values listed as -2, -1, 0, and 1.
- The corresponding y-values for these x-values are given as 10, [tex]\(\square\)[/tex] (missing), -2, and -6.
To answer the specific statements:
2. The [tex]$x$[/tex]-values are the [tex]$\square$[/tex] :
- The [tex]$x$[/tex]-values listed in the table are [tex]\(\{-2, -1, 0, 1\}\)[/tex].
- So, the statement becomes: The [tex]$x$[/tex]-values are the [tex]\(\boxed{\{-2, -1, 0, 1\}}\)[/tex].
3. The [tex]$y$[/tex]-values are the [tex]$\square$[/tex] :
- The [tex]$y$[/tex]-values corresponding to the x-values -2, -1, 0, and 1 are [tex]\( \{10, \square, -2, -6\}\)[/tex].
- So, the statement becomes: The [tex]$y$[/tex]-values are the [tex]\(\boxed{\{10, \square, -2, -6\}}\)[/tex].
4. Calculate the missing value for [tex]\( x = -1 \)[/tex] using the equation [tex]\( y = 2 - 4x \)[/tex]:
- For [tex]\( x = -1 \)[/tex]:
[tex]\[
y = 2 - 4(-1)
\][/tex]
[tex]\[
y = 2 + 4
\][/tex]
[tex]\[
y = 6
\][/tex]
- So, the missing value in the table for [tex]\( x = -1 \)[/tex] is [tex]\( y = \boxed{6} \)[/tex].
To summarize:
- The [tex]$x$[/tex]-values are the [tex]\(\boxed{\{-2, -1, 0, 1\}}\)[/tex].
- The [tex]$y$[/tex]-values are the [tex]\(\boxed{\{10, \square, -2, -6\}}\)[/tex].
- The missing value in the table for [tex]\( x = -1 \)[/tex] is [tex]\( y = \boxed{6} \)[/tex].
