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

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

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]

Sagot :

GinnyAnswer
To determine the value of \( x \) when \( f(x) = -3 \), follow these steps:

1. Examine the given table to identify the corresponding \( x \)-value for \( f(x) = -3 \):
[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]

2. Look through the rows of the table until we find the row where \( f(x) \) equals \(-3\).

Upon reviewing the table:

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

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

Consequently, the value of \( x \) when \( f(x) = -3 \) is:

[tex]\[ \boxed{-1} \][/tex]
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