f:[2,10]\to\R is defined as f(x) = \{\table{1/2}(x-6)^2-3{,}, x\leq4; {x-5}, x>4. Which of the following is true ?

Correct Answer is : Rolle's theorem is not applicable for f(x) in [2, 10]

f(x) is not continuous on [2, 10]

Rolle's theorem is not applicable for f(x) in [2, 10]

Rolle's theorem is applicable for f(x) in [2, 10] and Rolle's point \c = 6

TS EAMCET 6-Aug-2021 Shift 1 Question Paper

Section: Mathematics

Question : 74 of 160

Marks: +1, -0

f:[2,10]→R is defined as f(x) = {

(x−6)2−3,

x≤4

x−5

x>4

. Which of the following is true ?

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