JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

1 Easy

1 of 1

Application +4 | -1

Let the function,

f:[ - 7,0] \to R

be continuous on [-7, 0] and differentiable on (-7, 0). If

f( - 7) = - 3

and

f'(x) \le 2

, for all

x \in ( - 7,0)

then for all such functions

f,f\left( { - 1} \right) + f\left( 0 \right)

lies in the interval

View answer and explanation

Correct option: D

( - \infty ,\mathrm{ 20}]

Option D (

( - \infty ,\mathrm{ 20}])

is correct because it represents the interval in which

f( - 1) + f(0)

lies, derived using the Mean Value Theorem and the given conditions.

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