The graph of a function \( f:R\to R \) is shown below, where \( R \) is a real numbers
Then which of following statements is correct?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \( f'(0)\lt f(0) \)
The curve passes through the origin, so f(0) = 0.
Near the origin the curve falls as x increases, so f is decreasing there and \( f'(0)\lt 0 \).
Hence
\( f'(0)\lt 0=f(0) \)
\( f'(0)\lt f(0) \)