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The table represents 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]

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

A. [tex]\(-29\)[/tex]

B. [tex]\(-1\)[/tex]

Sagot :

GinnyAnswer
To determine the value of [tex]\( x \)[/tex] when [tex]\( f(x) = -3 \)[/tex], we need to carefully analyze the provided table of values.

Here's the table for reference:

[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 are interested in the value of [tex]\( x \)[/tex] where [tex]\( f(x) = -3 \)[/tex].

1. Find [tex]\( -3 \)[/tex] in the [tex]\( f(x) \)[/tex] column of the table.
2. Look at the corresponding value of [tex]\( x \)[/tex] in the same row.

Let's search for [tex]\( -3 \)[/tex] in the [tex]\( f(x) \)[/tex] column:

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

We observe that when [tex]\( f(x) = -3 \)[/tex], the corresponding [tex]\( x \)[/tex] value is [tex]\( -1 \)[/tex].

Thus, the solution is:

[tex]\[ x = -1 \text{ when } f(x) = -3 \][/tex]

Therefore, the correct answer is [tex]\( -1 \)[/tex].
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