The table represents a function.
Which value is an output of the function?
-6
-2
4
7
Answer (2)
Examine the output values in the table: 8, 3, -5, -2, 12.
Check if -6 is in the output values. It is not.
Check if -2 is in the output values. It is.
Conclude that the value that is an output of the function is − 2 .
Explanation
Understanding the Problem We are given a table that represents a function f ( x ) . The table shows the inputs x and their corresponding outputs f ( x ) . We need to determine which of the given values ( − 6 , − 2 , 4 , 7 ) is an output of the function, meaning it appears in the f ( x ) column of the table.
Analyzing the Output Values Let's examine the output values in the table: 8, 3, -5, -2, 12. We need to check if any of the given options match these values.
Checking the Options
Is − 6 an output value? No, − 6 is not in the list 8, 3, -5, -2, 12.
Is − 2 an output value? Yes, − 2 is in the list 8, 3, -5, -2, 12.
Is 4 an output value? No, 4 is not in the list 8, 3, -5, -2, 12.
Is 7 an output value? No, 7 is not in the list 8, 3, -5, -2, 12.
Conclusion Therefore, the only value from the given options that is an output of the function is − 2 .
Examples
Functions are used everywhere in real life. For example, the amount of money you earn could be a function of the number of hours you work. If you earn 15 p er h o u r , t h e f u n c t i o n w o u l d b e f(x) = 15x , w h ere x i s t h e n u mb ero f h o u rsyo u w or kan d f(x)$ is the amount you earn. This problem demonstrates how to read and interpret data presented in a function table, which is a fundamental skill for understanding relationships between variables in various real-world scenarios.
The output value from the function that is listed among the options is -2. This means -2 is the only value that appears as an output in the function's table. Therefore, the chosen option is -2.
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