QuestionFirst 2024-2026 Time Limit: 10 minutes $\Rightarrow 20241502032$
Solve the following questions and provide detailed solutions:
1. (3 points) Let $f(x)$ be a continuous function on $(-\infty, \infty)$ and suppose that the second derivitive of $f(x)$ is given by: $f^{\prime \prime}(x)=x(x-1)(x+3)^{2}$ (a) (3 points) Find the interval(s) where the function $f(x)$ is concave in (b) (3 points) Determine the inflection point(s) of $f(x)$.