Question

The approximate value of the function f(x) = x³ – 3x + 5 at x = 1.99 is ______.

Options

• 6.09

• 6.91

• 7.09

• 7.91

Answer 1

The approximate value of the function f(x) = x³ – 3x + 5 at x = 1.99 is 6.91.

Explanation:

We need the approximate value of f(x) = x³ – 3x + 5 at x = 1.99.

Step 1: Direct substitution

f(1.99) = (1.99)³ – 3(1.99) + 5

First compute (1.99)³:

1.99² = 3.9601

1.99³ = 3.9601 × 1.99

= 7.880599

Step 2: Substitute

f(1.99) = 7.880599 – 5.97 + 5

= 7.880599 – 0.97

= 6.910599

Approximate value:

6.91