Question 28

The function F(3) returns 4.

To determine the output of the function F when x is 3, we substitute 3 into the equation y = 4 * x - 8. This calculation yields y = 4 * 3 - 8, which simplifies to y = 12 - 8, resulting in y = 4.

A) -20

This option is incorrect because substituting x = 3 into the function does not yield -20. The calculation 4 * 3 - 8 produces a positive result, not a negative one, indicating that this choice does not reflect the correct output of the function.

B) -5

Option B is also incorrect. If we substitute 3 into the function, the output is not -5. The correct computation shows that y = 4 * 3 - 8 equals 4, which confirms that this choice does not match the function's output.

C) 4

This option is correct. By substituting x = 3 into the function, we find y = 4 * 3 - 8, which simplifies to y = 12 - 8, resulting in y = 4. This matches the output indicated by the correct answer.

D) 12

This choice is incorrect. While the calculation involves 12, it is the intermediate step of the function. The final result of the function, after subtracting 8, is 4, not 12, making this option incorrect.

Conclusion

The correct output of the function F(3) is definitively 4, as demonstrated by the calculations derived from the function's formula. All other options fail to provide the correct result due to errors in the arithmetic or misunderstanding of the function's operation.