🛠️ JEE➗ Maths

Let the function \( f:[-7,0] \rightarrow R \) be continuous on \( [-7 \), 0 ] and differentiable on \( (-7,0) \). If \( …

Q1

Let the function \( f:[-7,0] \rightarrow R \) be continuous on \( [-7 \), 0 ] and differentiable on \( (-7,0) \). If \( f(-7)=-3 \) and \( f^{\prime}(x) \leq \) 2 for all \( x \in(-7,0) \), then for all such functions \( f, f(-1)+f(0) \) lies in the interval


[JEE Main 2020, 7 Jan (Shift 1)]

a

\( [-6,20] \)

b

\( (-\infty, 20] \)

c

\( (-\infty, 11] \)

d

\( [-3,11] \)

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