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Indian Navy AA (Artificer Apprentice) Monotonicity — practice questions

Explore 1 free Monotonicity questions in Indian Navy AA (Artificer Apprentice) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Monotonicity questions and exercises with answers

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If $f(x) = x^2 - 4x + 3$, the **interval** on which $f$ is decreasing is:Read the answer and worked solution →

Worked practice questions

If $f(x) = x^2 - 4x + 3$, the **interval** on which $f$ is decreasing is:

  1. $x < 2$
  2. $x > 2$
  3. All $x$
  4. $x = 2$
Show answer and solution

Correct answer: A. $x < 2$

$f'(x) = 2x - 4 < 0$ ⇔ $x < 2$. So $f$ is decreasing on $(-\infty, 2)$ and increasing on $(2, \infty)$. Vertex/minimum at $x = 2$.

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