Question

fill in the table using this function rule.
y = -2x + 4
x | y
-6 |
-3 |
0 |
3 |

Explanation:

Step1: Substitute \( x = -6 \) into \( y = -2x + 4 \)

\( y = -2\times(-6) + 4 = 12 + 4 = 16 \)

Step2: Substitute \( x = -3 \) into \( y = -2x + 4 \)

\( y = -2\times(-3) + 4 = 6 + 4 = 10 \)

Step3: Substitute \( x = 0 \) into \( y = -2x + 4 \)

\( y = -2\times0 + 4 = 0 + 4 = 4 \)

Step4: Substitute \( x = 3 \) into \( y = -2x + 4 \)

\( y = -2\times3 + 4 = -6 + 4 = -2 \)

Answer:

When \( x = -6 \), \( y = 16 \); when \( x = -3 \), \( y = 10 \); when \( x = 0 \), \( y = 4 \); when \( x = 3 \), \( y = -2 \)

The filled table is:

\( x \)	\( y \)
\( -3 \)	\( 10 \)
\( 0 \)	\( 4 \)
\( 3 \)	\( -2 \)