GATE DA 2024 QUESTION - WISE DETAILED SOLUTIONS | Data Science and Artificial Intelligence I Q. 37

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Q.37 Let ????:ℝ → ℝ be a function. Note: ℝ denotes the set of real numbers.
????(????) = {
−????, if ???? −2
????????
2 + ???????? + ????, if ???? ∈ [−2,2]
????, if ???? 2
Which ONE of the following choices gives the values of ????, ????, ???? that make the
function ???? continuous and differentiable?
(A)
???? =
1
4
, ???? = 0, ???? = 1
(B)
???? =
1
2
, ???? = 0, ???? = 0
(C) ???? = 0, ???? = 0, ???? = 0
(D) ???? = 1, ???? = 1, ???? = −4


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