iran-konkur 2014 Q117

iran-konkur · Other · konkur-riazi_1393 Curve Sketching Identifying the Correct Graph of a Function
117. The figure on the left shows the graph of the function $y = f(x)$. The graph of $f'(x)$ is in which form?
[Figure: The main graph shows an S-shaped (sigmoid-like) increasing curve with two horizontal asymptotes.]
[Option (1): Graph with a sharp peak (cusp) at the origin, symmetric, going to zero on both sides.]
[Option (2): Graph with a smooth bell-shaped curve (positive hump).]
[Option (3): Graph with a curve that dips below the x-axis on the left and rises above on the right, with horizontal asymptotes.]
[Option (4): Graph with a smooth curve having a negative dip, symmetric about y-axis, with horizontal asymptotes.]
\textbf{117.} The figure on the left shows the graph of the function $y = f(x)$. The graph of $f'(x)$ is in which form?

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\textit{[Figure: The main graph shows an S-shaped (sigmoid-like) increasing curve with two horizontal asymptotes.]}

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\textit{[Option (1): Graph with a sharp peak (cusp) at the origin, symmetric, going to zero on both sides.]}

\textit{[Option (2): Graph with a smooth bell-shaped curve (positive hump).]}

\textit{[Option (3): Graph with a curve that dips below the x-axis on the left and rises above on the right, with horizontal asymptotes.]}

\textit{[Option (4): Graph with a smooth curve having a negative dip, symmetric about y-axis, with horizontal asymptotes.]}

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