Question

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

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

Explanation:

Step1: Substitute \( x = -3 \) into \( y = -x \)

Substitute \( x = -3 \) into the function \( y = -x \). So we have \( y = -(-3) \).

Step2: Simplify the expression

Simplify \( -(-3) \), according to the rule of negative numbers, the negative of a negative number is positive, so \( -(-3)=3 \).
For the other values:

• When \( x = -2 \), \( y=-(-2) = 2 \)
• When \( x = -1 \), \( y=-(-1)=1 \)
• When \( x = 0 \), \( y = - 0=0 \)
• When \( x = 1 \), \( y=-1 \)
• When \( x = 2 \), \( y = - 2 \)
• When \( x = 3 \), \( y=-3 \)

Answer:

The completed table is:

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

For the specific cell with \( x = - 3 \), the value of \( y \) is \( 3 \).