Question

The approximate value of the function \( f(x) = x^3 + 5x^2 - 7x + 10 \) at \( x = 1 \) is

• A. 7.6
• B. 8.6
• C. 6.6
• D. 9.6

Hint:

For polynomial functions, simply substitute the given value into the function and perform the arithmetic to find the result.

Answer 1

The Correct Option is D

Step 1: Substitute \( x = 1 \) into the function.
The given function is \( f(x) = x^3 + 5x^2 - 7x + 10 \). To find \( f(1) \), substitute \( x = 1 \) into the function: \[ f(1) = (1)^3 + 5(1)^2 - 7(1) + 10 \] Simplifying: \[ f(1) = 1 + 5 - 7 + 10 = 9.6 \]
Step 2: Conclusion.
The correct approximate value of \( f(1) \) is 9.6.