What is the value of f(-2) + f(-3)?

Rationale

f(-2) + f(-3) equals 6.

To find the value of f(-2) + f(-3), we substitute -2 and -3 into the function f and sum the results, which yields a total of 6.

A (-5) YOUR ANSWER

This choice suggests that the sum of f(-2) and f(-3) is negative, which is incorrect based on the computed values of f at those inputs. The calculations show that both function evaluations yield positive results that do not support this outcome.

B (6) CORRECT

This is the correct answer as it accurately represents the sum of the values obtained from f(-2) and f(-3). When we evaluate the function at these points, their combined total is precisely 6, confirming this choice.

C (7) YOUR ANSWER

This option implies that the total from the function evaluations is one unit higher than the accurate sum. The calculations demonstrate that the addition of f(-2) and f(-3) does not reach this value, indicating a miscalculation in evaluating the function or summing the results.

D (11) YOUR ANSWER

Selecting this option suggests an even larger sum than what is obtained through the function evaluations. The computed values of f(-2) and f(-3) do not lead to a total as high as 11, indicating a significant overestimation.

E (18) YOUR ANSWER

This choice indicates an excessively high value that cannot be achieved by adding the outputs from f(-2) and f(-3). The results from the function evaluations fall short of this total, making it an incorrect option.

Conclusion

The evaluation of f(-2) + f(-3) results in a total of 6, confirming that this is the only accurate answer among the choices provided. The other options reflect misunderstandings of the function's output and miscalculations in the summing process. Therefore, choice B effectively captures the correct computation of the function's values at the specified inputs.

What is the value of f(-2) + f(-3)?

f(-2) + f(-3) equals 6.

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