Use the graph of $f^{\text{'}}$ and $f^{\text{'}\text{'}}$ to find the critical points and inflection points of $f,$ the intervals on which $f$ is increasing and decreasing, and the intervals of concavity. Then, graph $f$ assuming $f(0)=0.$

Find the critical points.

The critical points are $x=($Use a comma to separate answers as needed.$)$

Find the inflection points:

The inflection points occur at $x=($Use a comma to separate answers as needed.$)$

Find the intervals on which $f$ is increasing and decreasing.

$f$ is decreasing on

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

$f$ is increasing on

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

Find the intervals of concavity.

$f$ is concave up on

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

$f$ is concave down on

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

Graph $f$ assuming $f(0)=0.$ Choose the correct graph below.

c$.$

D$.$