If $y$ is between 0 and 1, which of the following increases as $y$ increases? i. $(1-y^2)$ ii. $(y-1)$ iii. $1/y^2$

Question

Accepted Answer

সঠিক উত্তর: । ব্যাখ্যা: If $0 < y < 1$, as $y$ increases: i. $y^2$ increases, so $(1-y^2)$ decreases. ii. $(y-1)$ increases (since the slope is 1). iii. $y^2$ increases, so $\frac{1}{y^2}$ decreases. $\therefore$ Only $(y-1)$ increases as $y$ increases. The provided answer is C, which is II only.

If \(y\) is between 0 and 1, which of the following increases as \(y\) increases? i. \((1-y^2)\) ii. \((y-1)\) iii. \(1/y^2\)