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The table represents the function [tex]\( f(x) \)[/tex].

[tex]\[
\begin{tabular}{|c|c|}
\hline
$x$ & $f(x)$ \\
\hline
-4 & -66 \\
\hline
-3 & -29 \\
\hline
-2 & -10 \\
\hline
-1 & -3 \\
\hline
0 & -2 \\
\hline
1 & -1 \\
\hline
2 & 6 \\
\hline
\end{tabular}
\][/tex]

When [tex]\( f(x) = -3 \)[/tex], what is [tex]\( x \)[/tex]?

A. [tex]\(-29\)[/tex]
B. [tex]\(-10\)[/tex]
C. [tex]\(-3\)[/tex]
D. [tex]\(-1\)[/tex]



Answer :

GinnyAnswer
To solve for the value of [tex]\( x \)[/tex] when [tex]\( f(x) = -3 \)[/tex], we can refer to the given table of values of the function [tex]\( f(x) \)[/tex]:

[tex]\[ \begin{array}{|c|c|} \hline x & f(x) \\ \hline -4 & -66 \\ \hline -3 & -29 \\ \hline -2 & -10 \\ \hline -1 & -3 \\ \hline 0 & -2 \\ \hline 1 & -1 \\ \hline 2 & 6 \\ \hline \end{array} \][/tex]

We need to find the value of [tex]\( x \)[/tex] for which [tex]\( f(x) = -3 \)[/tex].

1. Look through the function values [tex]\( f(x) \)[/tex] in the table.
2. Identify the row where [tex]\( f(x) = -3 \)[/tex].

By going through each row:

- For [tex]\( x = -4 \)[/tex], [tex]\( f(-4) = -66 \)[/tex]
- For [tex]\( x = -3 \)[/tex], [tex]\( f(-3) = -29 \)[/tex]
- For [tex]\( x = -2 \)[/tex], [tex]\( f(-2) = -10 \)[/tex]
- For [tex]\( x = -1 \)[/tex], [tex]\( f(-1) = -3 \)[/tex]
- For [tex]\( x = 0 \)[/tex], [tex]\( f(0) = -2 \)[/tex]
- For [tex]\( x = 1 \)[/tex], [tex]\( f(1) = -1 \)[/tex]
- For [tex]\( x = 2 \)[/tex], [tex]\( f(2) = 6 \)[/tex]

We find that [tex]\( f(-1) = -3 \)[/tex].

Therefore, the value of [tex]\( x \)[/tex] when [tex]\( f(x) = -3 \)[/tex] is [tex]\( x = -1 \)[/tex].

The correct option is:
[tex]\[ \boxed{-1} \][/tex]

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