JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Let

f:[0,\,2] \to R

be a twice differentiable function such that

f''(x) > 0,

for all

x \in \,(0,\,2)

. If

\phi (x) = f(x) + f(2 - x),

then

\phi

View answer and explanation

Correct option: C

Decreasing on (0, 1) and increasing on (1, 2)

Option C (Decreasing on (0, 1) and increasing on (1, 2)) is correct because the sign of the derivative of

\phi(x)

changes from negative to positive at

x=1

, indicating a decreasing function before 1 and an increasing function after 1.

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