The function f(x) = x2 - 2x is strictly

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The function f(x) = x² - 2x is strictly decreasing in the interval

Options:

(-∞, -1)

(-1, ∞)

(-∞, 1)

(-1, ∞)

Correct Answer:

(-∞, 1)

Explanation:

f(x) = x² - 2x

so f'(x) = 2x - 2

so f'(x) = 0

⇒ x = 1

using wally curve method

f'(x) < 0 in (-∞, 1)

so f(x) is strictly decreasing in (-∞, 1)