Fill in the table using this function rule.

Question

y=-2x+3

X Y
-4

-2

0

2

Answer 1

To fill in the table using the function rule \( y = -2x + 3 \), we can substitute each value of \( x \) into the equation to find \( y \).

Let's calculate \( y \) for each \( x \):

1. For \( x = -4 \): \[ y = -2(-4) + 3 = 8 + 3 = 11 \]

2. For \( x = -2 \): \[ y = -2(-2) + 3 = 4 + 3 = 7 \]

3. For \( x = 0 \): \[ y = -2(0) + 3 = 0 + 3 = 3 \]

4. For \( x = 2 \): \[ y = -2(2) + 3 = -4 + 3 = -1 \]

Now we can fill in the completed table:

\[ \begin{array}{|c|c|} \hline X & Y \ \hline -4 & 11 \ -2 & 7 \ 0 & 3 \ 2 & -1 \ \hline \end{array} \]