Function Interval Bounds (Jee Mains) | ExamDuo
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Application of Derivates
Medium
Function Interval Bounds
Let the function, f : [–7, 0] → R be continuous on [–7, 0] and differentiable on (–7, 0). If f(–7) = –3 and f' (x) ≤ 2, for all x ∈ (–7, 0), then for all such functions f, f(–1) + f (0) lies in the interval :
SELECT ONE OPTION
A
[
−
6
,
20
]
B
(
−
∞
,
20
]
C
(
−
∞
,
11
]
D
[
−
3
,
11
]
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