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) evaluates to 39.

To find the value of the function f at x = 5, we substitute 5 into the equation f(x) = 2x² - 3x + 4, leading to f(5) = 2(5)² - 3(5) + 4, which simplifies to 39.

A (31) YOUR ANSWER

When calculating f(5) using the function, substituting 5 gives us 2(5)² - 3(5) + 4 = 50 - 15 + 4 = 39, not 31. This option does not reflect the correct evaluation of the function.

B (39) CORRECT

This choice is the correct evaluation. Substituting x = 5 into f(x) results in f(5) = 2(5)² - 3(5) + 4 = 2(25) - 15 + 4, which simplifies to 50 - 15 + 4 = 39.

C (81) YOUR ANSWER

For this option, substituting 5 into the function would not yield 81. Instead, following the same steps, we find f(5) = 50 - 15 + 4 = 39. Therefore, this choice is incorrect as it does not match the evaluated result.

D (89) YOUR ANSWER

This choice suggests an incorrect computation of the function. Substituting into f(5) leads to f(5) = 50 - 15 + 4 = 39. The value 89 is far from the actual output of the function when x is 5, confirming this option is incorrect.

Conclusion

The function f(x) = 2x² - 3x + 4 correctly evaluated at x = 5 gives a value of 39. The other options present incorrect calculations or misunderstandings of the function's output. Thus, understanding how to substitute and simplify correctly is crucial for evaluating polynomial functions accurately.

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) evaluates to 39.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test