Every invertible function is

Important Questions on Increasing and Decreasing Functions

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

In the interval $\left(1,2\right)$, function $f\left(x\right)=2\left|x-1\right|+3\left|x-2\right|$ is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21

If the function $f\left(x\right)=\cos \left|x\right|-2ax+b$ increases along the entire number scale, then

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 22

The function $f\left(x\right)=\frac{x}{1+\left|x\right|}$ is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23

The function $f\left(x\right)=\frac{\lambda \sin x+2\cos x}{\sin x +\cos x}$ is increasing, if

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 24

Function $f\left(x\right)=a^x$ is increasing on $R$, if

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 25

Function $f\left(x\right)={\log }_{a}x$ is increasing on $R$, if

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 26

Let $\varphi \left(x\right)=f\left(x\right)+f\left(2a-x\right)$ and $f\text{'}\text{'}\left(x\right)>0$ for all $x\in \left[0,a\right]$. Then, $\varphi \left(x\right)$

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 17 - Increasing and Decreasing Functions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 27

If the function $f\left(x\right)=x^2-kx+5$ is increasing on $\left[2,4\right]$ then