Question

given the function below, fill in the table of values and use the table values to graph.
$y = x - 2$

$x$	$y = x - 2$
$-2$
$-1$
$0$
$1$
$2$
$3$

Explanation:

Step1: Substitute x = -3 into the function

To find the value of \( y \) when \( x = -3 \) in the function \( y = x - 2 \), we substitute \( x = -3 \) into the equation.
\[
y = -3 - 2
\]

Step2: Simplify the expression

Simplify \( -3 - 2 \) to get the value of \( y \).
\[
y = -5
\]
(We can also find the other values by substituting each x value into the function:

• For \( x = -2 \): \( y = -2 - 2 = -4 \)
• For \( x = -1 \): \( y = -1 - 2 = -3 \)
• For \( x = 0 \): \( y = 0 - 2 = -2 \)
• For \( x = 1 \): \( y = 1 - 2 = -1 \)
• For \( x = 2 \): \( y = 2 - 2 = 0 \)
• For \( x = 3 \): \( y = 3 - 2 = 1 \)

But since the question first focuses on \( x = -3 \), we'll show that calculation first.)

Answer:

For \( x = -3 \), \( y = -5 \). The completed table (for all x values) would have:

\( x \)	\( y = x - 2 \)
\( -2 \)	\( -4 \)
\( -1 \)	\( -3 \)
\( 0 \)	\( -2 \)
\( 1 \)	\( -1 \)
\( 2 \)	\( 0 \)
\( 3 \)	\( 1 \)

(If only the value for \( x = -3 \) is needed, the answer is \( -5 \).)