Question

given the function below, fill in the table of values and use the table values to graph. $y = -4x$ | $x$ | $y = -4x$ | | --- | --- | | $-3$ | | | $-2$ | | | $-1$ | | | $0$ | | | $1$ | |

Explanation:

Step1: Substitute \( x = -3 \)

Substitute \( x = -3 \) into \( y = -4x \). So \( y = -4\times(-3) = 12 \).

Step2: Substitute \( x = -2 \)

Substitute \( x = -2 \) into \( y = -4x \). So \( y = -4\times(-2) = 8 \).

Step3: Substitute \( x = -1 \)

Substitute \( x = -1 \) into \( y = -4x \). So \( y = -4\times(-1) = 4 \).

Step4: Substitute \( x = 0 \)

Substitute \( x = 0 \) into \( y = -4x \). So \( y = -4\times0 = 0 \).

Step5: Substitute \( x = 1 \)

Substitute \( x = 1 \) into \( y = -4x \). So \( y = -4\times1 = -4 \).

Answer:

For \( x = -3 \), \( y = 12 \); for \( x = -2 \), \( y = 8 \); for \( x = -1 \), \( y = 4 \); for \( x = 0 \), \( y = 0 \); for \( x = 1 \), \( y = -4 \). The table filled is:

\( x \)	\( y = -4x \)
-2	8
-1	4
0	0
1	-4