Let f:R → R be defined as f(x) = \ - 55x, if x 4,. Let A = x R: f is increasing. Then A is equal to:

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Evening shift · Q2717

JEE Main 202124 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f:R \to R

be defined as

f(x) = \left\{ {\matrix{ { - 55x,} & {if\,x < - 5} \cr {2{x^3} - 3{x^2} - 120x,} & {if\, - 5 \le x \le 4} \cr {2{x^3} - 3{x^2} - 36x - 336,} & {if\,x > 4,} \cr } } \right.

Let A = {x

\in

R : f is increasing}. Then A is equal to :

JEE Main 2021 · 24 Feb, Evening shift · Q2717

JEE Main 202124 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f:R \to R

be defined as

f(x) = \left\{ {\matrix{ { - 55x,} & {if\,x < - 5} \cr {2{x^3} - 3{x^2} - 120x,} & {if\, - 5 \le x \le 4} \cr {2{x^3} - 3{x^2} - 36x - 336,} & {if\,x > 4,} \cr } } \right.

Let A = {x

\in

R : f is increasing}. Then A is equal to :