Question

the table represents a function.

x	f(x)
7	3
4	-5
3	-2
-5	12

which value is an output of the function?
-6
-2
4
7

Explanation:

Step1: Recall function output definition

In a function table, the output of the function \( f(x) \) (the dependent variable) corresponds to the values in the \( f(x) \) column. The input is the \( x \)-value (independent variable). We need to check which of the given options is present in the \( f(x) \) column.

Step2: List the \( f(x) \) values

From the table, the \( f(x) \) values are \( 8, 3, -5, -2, 12 \).

Step3: Check the options

• Option \(-6\): This is an \( x \)-value (input), not an output.
• Option \(-2\): This is a value in the \( f(x) \) column (output), so it is an output of the function.
• Option \(4\): This is an \( x \)-value (input), not an output.
• Option \(7\): This is an \( x \)-value (input), not an output.

Answer:

\(-2\) (specifically, the option corresponding to \(-2\))