Q54
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]?
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) ≤ 2 |x + 1|
AnswerB.
f(x) ≤ |x|
C.
f(x) ≤ 2 |x|
D.
f(x) ≤ |x + 1|
Answer: Option A
Solution
Answer: Option A
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