Answered

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Consider the function represented by the table:

[tex]\[
\begin{tabular}{|c|c|}
\hline
$x$ & $f(x)$ \\
\hline
2 & 6 \\
\hline
7 & 3 \\
\hline
9 & 5 \\
\hline
\end{tabular}
\][/tex]

The ordered pair given in the bottom row can be written using function notation as:

A. [tex]\( f(9) = 5 \)[/tex]

B. [tex]\( f(5) = 9 \)[/tex]

C. [tex]\( f(5, 9) = 14 \)[/tex]

D. [tex]\( f(9, 5) = 14 \)[/tex]

Sagot :

GinnyAnswer
Let's consider the table of values for the function [tex]\( f \)[/tex]:

[tex]\[ \begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline 2 & 6 \\ \hline 7 & 3 \\ \hline 9 & 5 \\ \hline \end{tabular} \][/tex]

The question is about the ordered pair given in the bottom row of the table. The pair from the bottom row is [tex]\( (9, 5) \)[/tex]. We need to express this pair using function notation.

Function notation is a way to represent the value of a function at a specific input. For example, if we have the pair [tex]\( (x, f(x)) \)[/tex], it means that for an input [tex]\( x \)[/tex], the function [tex]\( f \)[/tex] produces the value [tex]\( f(x) \)[/tex].

In the table, the bottom row gives us the pair [tex]\( (9, 5) \)[/tex]. This means that when the input to the function [tex]\( f \)[/tex] is [tex]\( 9 \)[/tex], the output is [tex]\( 5 \)[/tex]. Using function notation, we write this as:

[tex]\[ f(9) = 5 \][/tex]

Now let's examine the provided options:

1. [tex]\( f(9)=5 \)[/tex]
2. [tex]\( f(5)=9 \)[/tex]
3. [tex]\( f(5,9)=14 \)[/tex]
4. [tex]\( f(9,5)=14 \)[/tex]

From the ordered pair [tex]\( (9, 5) \)[/tex], we see that the correct expression using function notation is [tex]\( f(9) = 5 \)[/tex].

Therefore, the correct answer is:

[tex]\[ f(9)=5 \][/tex]
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