1. **Problem statement:** Given the table of values for $x$ and $y$, find: a. Which input $x$ has the highest output $y$? b. Which values of $x$ give an output of 0 in the graphed function? 2. **Analyzing part (a):** From the table: $$\begin{array}{c|cccccc} x & 1 & 2 & 3 & 4 & 5 & 6 \\ y & 3 & -1 & 0 & 4 & 5 & -1 \\\end{array}$$ We look for the maximum $y$ value. 3. **Finding the highest output:** The outputs are $3, -1, 0, 4, 5, -1$. The highest output is $5$ at $x=5$. 4. **Analyzing part (b):** From the graph description, the function crosses the $x$-axis (output $0$) at approximately $x=0$ and $x=7$. 5. **Summary:** - The input with the highest output in the table is $x=5$ with output $5$. - The values of $x$ giving output $0$ in the graphed function are approximately $x=0$ and $x=7$.