The function f is defined by f(x) = 2x² - 3x + 4 for all values of x. What is the value of f(5)?

Rationale

f(5) equals 39.

To find the value of the function f when x equals 5, we substitute 5 into the equation f(x) = 2x^2 - 3x + 4. This results in f(5) = 2(5)^2 - 3(5) + 4, which simplifies to 39.

A (31) YOUR ANSWER

Calculating f(5) results in 39, not 31. This value could arise from a miscalculation, such as incorrectly substituting or simplifying the expression. The correct evaluation at x = 5 does not yield this result.

B (39) CORRECT

This is the accurate calculation for f(5). Substituting 5 into the function yields f(5) = 2(5)^2 - 3(5) + 4 = 2(25) - 15 + 4 = 50 - 15 + 4 = 39. Thus, this value is confirmed as the correct answer.

C (81) YOUR ANSWER

The value of 81 does not correspond to f(5). A common mistake might involve miscalculating the square or incorrectly adding and subtracting the values in the function. A careful evaluation shows that 81 is not achievable with the given function at x = 5.

D (89) YOUR ANSWER

Similarly, 89 cannot be the value of f(5). This could stem from an error in computation, such as misapplying the order of operations or incorrectly combining terms. The correct evaluation again confirms that f(5) does not equal 89.

Conclusion

To determine f(5) for the function f(x) = 2x^2 - 3x + 4, the correct evaluation yields 39. The other options result from calculation errors or misinterpretations of the function's structure. Recognizing correct substitutions and operations is crucial for accurate results in polynomial evaluations.

The function f is defined by f(x) = 2x² - 3x + 4 for all values of x. What is the value of f(5)?

f(5) equals 39.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test