Let f x = - 2 sin x , if x ≤ - π 2 A sin x + B , if - π 2 < x < π 2 cos x , if x ≥ π 2 Then,

f is continuous for A = - 1 and B = 1

f is discontinuous for all A and B

f is continuous for A = 1 and B = - 1

f is continuous for all A and B

Consider the function f ( x ) = x 3 4 - sin π x + 3

f ( x ) takes on the value 3 1 4 in the interval [ - 2 , 2 ]

f ( x ) does not attain value within the interval [ - 2 , 2 ]

f ( x ) takes no value p , 1 < p < 5 in the interval [ - 2 , 2 ]

E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Continuity and Differentiability>WBJEE 2018

Embibe Experts Solutions for Chapter: Continuity and Differentiability, Exercise 1: WBJEE 2018

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Continuity and Differentiability, Exercise 1: WBJEE 2018

Attempt the practice questions on Chapter 22: Continuity and Differentiability, Exercise 1: WBJEE 2018 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Continuity and Differentiability, Exercise 1: WBJEE 2018 with Hints & Solutions

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Continuity and Differentiability>WBJEE 2018>Q 1

Let $f (x) = \{\begin{matrix} - 2 \sin x, & if x \leq - \frac{π}{2} \\ A \sin x + B, & if - \frac{π}{2} < x < \frac{π}{2} \\ \cos x, & if x \geq \frac{π}{2} \end{matrix}$ Then,