Question

consider the function represented by the table.

x	f(x)
7	3
9	5

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

• $f(9)=5$.
• $f(5)=9$.
• $f(5, 9)=14$.
• $f(9, 5)=14$.

Explanation:

Step1: Recall function notation

Function notation is \( f(x) = y \), where \( x \) is the input (from the \( x \)-column) and \( y \) is the output (from the \( f(x) \)-column).

Step2: Analyze the bottom row

The bottom row has \( x = 9 \) and \( f(x) = 5 \). So in function notation, this is \( f(9) = 5 \).

Step3: Evaluate other options

• \( f(5)=9 \): Here, \( x = 5 \) would imply \( f(5) \), but the table has \( x = 9 \) giving \( f(x)=5 \), not \( x = 5 \) giving \( 9 \).
• \( f(5, 9)=14 \) and \( f(9, 5)=14 \): The function here is a single - variable function (input \( x \), output \( f(x) \)), not a two - variable function, so these are incorrect.

Answer:

A. \( f(9)=5 \)