Question

which tables represent constant functions?

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 2 & -1 \\\\ \\hline 2 & 0 \\\\ \\hline 2 & 1 \\\\ \\hline \\end{array}$$

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 2 & -3 \\\\ \\hline 4 & -7 \\\\ \\hline 6 & -11 \\\\ \\hline \\end{array}$$

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 2 & 3 \\\\ \\hline 4 & 3 \\\\ \\hline 6 & 3 \\\\ \\hline \\end{array}$$

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 1 & 3 \\\\ \\hline 2 & 12 \\\\ \\hline 3 & 27 \\\\ \\hline \\end{array}$$

Explanation:

Define a constant function

$$ y = c \quad \text{for all } x $$

Evaluate each table

$$
LATEXBLOCK0
$$

Answer:

• (A) Table 1:

x	y
2	0
2	1

• (B) Table 2:

x	y
4	-7
6	-11

• **(C) Table 3:

x	y
4	3
6	3	(Correct answer)**

• (D) Table 4:

x	y
2	12
3	27