Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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 [tex]\( x \)[/tex] when [tex]\( f(x) = -3 \)[/tex] using the given table, follow these steps:

1. Understand the table:
The table shows pairs of [tex]\( x \)[/tex] and [tex]\( f(x) \)[/tex] values. We are looking for the value of [tex]\( x \)[/tex] where [tex]\( f(x) = -3 \)[/tex].

2. Scan the [tex]\( f(x) \)[/tex] values in the table:
Go through the [tex]\( f(x) \)[/tex] values to find [tex]\( -3 \)[/tex].

3. Identify the corresponding [tex]\( x \)[/tex] value:
Once we find [tex]\( f(x) = -3 \)[/tex], note the corresponding [tex]\( x \)[/tex] value.

Here is the given 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]

4. Find [tex]\( f(x) = -3 \)[/tex]:
- When [tex]\( x = -4 \)[/tex], [tex]\( f(x) = -66 \)[/tex]
- When [tex]\( x = -3 \)[/tex], [tex]\( f(x) = -29 \)[/tex]
- When [tex]\( x = -2 \)[/tex], [tex]\( f(x) = -10 \)[/tex]
- When [tex]\( x = -1 \)[/tex], [tex]\( f(x) = -3 (this matches our target \( f(x) \)[/tex])

Thus, the value of [tex]\( x \)[/tex] for which [tex]\( f(x) = -3 \)[/tex] is:
[tex]\[ \boxed{-1} \][/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.