The function f(x)=\{\table 2x^2-1,\if 1 \leq x \leq 4;151-30x,\if 4

Correct Answer is : f(x) is not differentiable at x = 4

f(x) is not continuous on [l,5]

f(x) is continuous only at x = 4

f(x) is not differentiable in (4, 5)

f(x) is not differentiable at x = 4

KEAM 2014 Math Paper

Question : 36 of 120

Marks: +1, -0

The function f(x)={

2x2−1	if‌ ‌1≤x≤4
151−30x	if‌ ‌4<x≤5

is not suitable to apply Rolle’s theorem since

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2x2−1	‌	‌ if ‌1≤x≤4
151−30x	‌	‌ if ‌4<x≤5.