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The values in the table represent a function.
\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$f(x)$[/tex] \\
\hline
-6 & 8 \\
\hline
7 & 3 \\
\hline
4 & -5 \\
\hline
3 & -2 \\
\hline
-5 & 12 \\
\hline
\end{tabular}

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The ordered pair given in the first row of the table can be written using function notation as [tex]$f(-6) = 8$[/tex].

[tex]$f(3)$[/tex] is [tex]$-2$[/tex].

[tex]$f(x) = -5$[/tex] when [tex]$x$[/tex] is [tex]$4$[/tex].

Sagot :

GinnyAnswer
Let's examine the table of values for the function step by step.

[tex]\[ \begin{array}{|c|c|} \hline x & f(x) \\ \hline -6 & 8 \\ \hline 7 & 3 \\ \hline 4 & -5 \\ \hline 3 & -2 \\ \hline -5 & 12 \\ \hline \end{array} \][/tex]

1. The ordered pair given in the first row of the table can be written using function notation as [tex]\( f(-6) = 8 \)[/tex].
- The input [tex]\( x = -6 \)[/tex] corresponds to [tex]\( f(-6) \)[/tex].
- The output or the value of the function at [tex]\( x = -6 \)[/tex] is [tex]\( 8 \)[/tex].

2. [tex]\( f(3) \)[/tex] is
- We need to find the value in the second column when [tex]\( x = 3 \)[/tex].
- From the table, when [tex]\( x = 3 \)[/tex], the value corresponding to [tex]\( f(3) \)[/tex] is [tex]\( -2 \)[/tex].
- So, [tex]\( f(3) = -2 \)[/tex].

3. [tex]\( f(x) = -5 \)[/tex] when [tex]\( x \)[/tex] is
- We need to find the value in the first column when [tex]\( f(x) = -5 \)[/tex].
- From the table, the value of [tex]\( x \)[/tex] when [tex]\( f(x) = -5 \)[/tex] is [tex]\( 4 \)[/tex].
- So, [tex]\( f(x) = -5 \)[/tex] when [tex]\( x = 4 \)[/tex].

Putting it all together:

- The ordered pair given in the first row of the table can be written using function notation as [tex]\( f(-6) = 8 \)[/tex].
- [tex]\( f(3) \)[/tex] is [tex]\( -2 \)[/tex].
- [tex]\( f(x) = -5 \)[/tex] when [tex]\( x = 4 \)[/tex].
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