# Function and graph

Calculus Level pending

$$y= x^3+3|x|+c$$ is a function.

Which of the following statements is/are true?

1. If $$-2\leq c\leq 0$$, then $$y$$ has at least two roots.
2. If $$0\leq c\leq 2$$, then y has at most one root.
3. If $$f'(b)=0$$, $$b$$ is the root of $$y$$, then $$c = 2$$.
4. $$y$$ is decreasing in $$y \in (a,b)$$ and $$b-a=2$$.

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