EC > GATE 2019 > Differential Calculus
Consider a differentiable function f(x) on the set of real numbers such that f(-1)=0 and |f'(x)|≤2. Given these conditions, which one of the following inequalities is necessarily true for all x∈[-2,2]?
A
f(x)≤1/2|x+1|
B
f(x)≤2|x+1|
C
f(x)≤1/2|x|
D
f(x)≤2|x|

Correct : b

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