in Calculus recategorized by
121 views
0 votes
0 votes

Consider a differentiable function $f(x)$ on the set of real numbers, such that $f(-1)=0$ and $ \mid f’(x) \mid \leq 2.$ Given these conditions, which one of the following inequalities is necessarily true for all $x \in[-2,2]?$

  1. $f(x)\leq \frac{1}{2} \mid x+1 \mid$
  2. $f(x)\leq 2  \mid x+1 \mid $
  3. $f(x)\leq \frac{1}{2} \mid x \mid$
  4. $f(x)\leq 2 \mid x \mid$
in Calculus recategorized by
by
6.0k points
121 views

Please log in or register to answer this question.

Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.