The number of points where the function f(x) = \ |2x² - 3x - 7| if x ≤ - 1 [4x² - 1] if - 1 < x < 1 |x + 1| + |x - 2| if x ≥ 1. [t] denotes the greatest integer ≤ t, is discontinuous is _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Morning shift · Q39

JEE Main 202224 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The number of points where the function

f(x) = \left\{ {\matrix{ {|2{x^2} - 3x - 7|} & {if} & {x \le - 1} \cr {[4{x^2} - 1]} & {if} & { - 1 < x < 1} \cr {|x + 1| + |x - 2|} & {if} & {x \ge 1} \cr } } \right.

[t] denotes the greatest integer

\le

t, is discontinuous is _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 24 Jun, Morning shift · Q39

JEE Main 202224 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The number of points where the function

f(x) = \left\{ {\matrix{ {|2{x^2} - 3x - 7|} & {if} & {x \le - 1} \cr {[4{x^2} - 1]} & {if} & { - 1 < x < 1} \cr {|x + 1| + |x - 2|} & {if} & {x \ge 1} \cr } } \right.

[t] denotes the greatest integer

\le

t, is discontinuous is _____________.

Your answerType your answer. Integers and decimals are accepted.