Question

fill in the table using this function rule.
y=6x+2
x | y
-1 |
0 |
1 |
5 |

Explanation:

Step1: Substitute \( x = -1 \) into \( y = 6x + 2 \)

\( y = 6\times(-1) + 2 = -6 + 2 = -4 \)

Step2: Substitute \( x = 0 \) into \( y = 6x + 2 \)

\( y = 6\times0 + 2 = 0 + 2 = 2 \)

Step3: Substitute \( x = 1 \) into \( y = 6x + 2 \)

\( y = 6\times1 + 2 = 6 + 2 = 8 \)

Step4: Substitute \( x = 5 \) into \( y = 6x + 2 \)

\( y = 6\times5 + 2 = 30 + 2 = 32 \)

Answer:

When \( x = -1 \), \( y = -4 \); when \( x = 0 \), \( y = 2 \); when \( x = 1 \), \( y = 8 \); when \( x = 5 \), \( y = 32 \). So the completed table (from top to bottom in the \( y \)-column) has values \(-4\), \(2\), \(8\), \(32\).