jee-main 2023 Q62

jee-main · India · session2_13apr_shift1 Composite & Inverse Functions Injectivity, Surjectivity, or Bijectivity Classification

Let $f: \mathbb{R} \to \mathbb{R}$ be a function defined by $f(x) = \frac{x^2 + 2}{x^2 + 1}$. Then which of the following is NOT true?
(1) $f(x)$ has a minimum at $x = 0$
(2) $f(x)$ is an even function
(3) $f(x)$ is strictly increasing for $x > 0$
(4) $f(x)$ is onto

Let $f: \mathbb{R} \to \mathbb{R}$ be a function defined by $f(x) = \frac{x^2 + 2}{x^2 + 1}$. Then which of the following is NOT true?\\
(1) $f(x)$ has a minimum at $x = 0$\\
(2) $f(x)$ is an even function\\
(3) $f(x)$ is strictly increasing for $x > 0$\\
(4) $f(x)$ is onto

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q10 Q14 Q18 Q19 Q21 Q24 Q26 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72 Q73 Q74 Q75 Q76 Q77 Q78 Q79 Q80