Let the function, ƒ:[-7, 0] → R be continuous on [-7,0] and differentiable on (-7, 0). If ƒ(-7) = - 3 and ƒ'(x) ≤ 2, for all x (-7,0), then for all such functions ƒ, ƒ(-1) + ƒ(0) lies in the interval:

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Morning shift · Q2697

JEE Main 20207 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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: