JEE Math Practice Question
Let the function, ƒ:[-7, 0]$$ \to $$R be continuous on [-7,0] and differentiable on (-7, 0). If ƒ(-7) = - 3 and ƒ'(x) $$ \le $$ 2, for all x $$ \in $$ (-7,0), then for all such functions ƒ, ƒ(-1) + ƒ(0) lies in the interval:
- A.$$\left[ { - 6,20} \right]$$
- B.$$\left( { - \infty ,\left. {20} \right]} \right.$$
- C.$$\left[ { - 3,11} \right]$$
- D.$$\left( { - \infty ,\left. {11} \right]} \right.$$
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