JEE PYQ: Continuity And Differentiability Question 31
Question 31 - 2019 (09 Jan Shift 1)
Let $f : \mathbb{R} \to \mathbb{R}$ be a function defined as
$$f(x) = \begin{cases} 5, & \text{if } x \leq 1 \ a + bx, & \text{if } 1 < x < 3 \ b + 5x, & \text{if } 3 \leq x < 5 \ 30, & \text{if } x \geq 5 \end{cases}$$
Then, $f$ is:
(1) continuous if $a = 5$ and $b = 5$
(2) continuous if $a = -5$ and $b = 10$
(3) continuous if $a = 0$ and $b = 5$
(4) not continuous for any values of $a$ and $b$
BETA
