Question

fill in the table using this function rule.
y = -3x + 5
x | y
-4 |
-2 |
0 |
2 |

Explanation:

Step1: Calculate y when x = -4

Substitute \( x = -4 \) into \( y = -3x + 5 \).
\( y = -3\times(-4) + 5 = 12 + 5 = 17 \)

Step2: Calculate y when x = -2

Substitute \( x = -2 \) into \( y = -3x + 5 \).
\( y = -3\times(-2) + 5 = 6 + 5 = 11 \)

Step3: Calculate y when x = 0

Substitute \( x = 0 \) into \( y = -3x + 5 \).
\( y = -3\times0 + 5 = 0 + 5 = 5 \)

Step4: Calculate y when x = 2

Substitute \( x = 2 \) into \( y = -3x + 5 \).
\( y = -3\times2 + 5 = -6 + 5 = -1 \)

Answer:

When \( x = -4 \), \( y = 17 \); when \( x = -2 \), \( y = 11 \); when \( x = 0 \), \( y = 5 \); when \( x = 2 \), \( y = -1 \)

The filled table is:

\( x \)	\( y \)
-2	11
0	5
2	-1