Answer
a) $[-2,4]$.
b) $(-\infty,4]$.
Work Step by Step
Part a.
From the graph, the values of $x$ that satisfy the inequality $0\leq y\leq3$ are $[-2,4]$.
Part b.
From the graph, the values of $x$ that satisfy the inequality $y\geq0$ are $(-\infty,4]$.