Question

The absolute maximum value of f(x) = x² + 1 in [−5, 2] is ______.

Options

• 26

• 1

• 5

• 2

Answer 1

The absolute maximum value of f(x) = x² + 1 in [−5, 2] is 26.

Explanation:

Given: f(x) = x² + 1 in [−5, 2]

Since the parabola opens upward, the maximum occurs at the endpoints.

f(−5) = 25 + 1

= 26,

f(2) = 4 + 1

= 5

Thus, the absolute maximum value is 26.