Question

The graph of $y=f^{\prime \prime }(x)$ for a function $f$ is shown. Number of points of inflection for $y=f(x)$ is

• A. 4
• B. 3
• C. 2
• D. 1

Answer 1

Answer: (C)

Only at $A$ and $E$
only at $D{f}^{\prime \prime }(x)=0$ but does not change sign
at $x=c,f^{\prime \prime }(c)=0$ and does not change sign
$\therefore$ nothing can be said.