Question

Fill in the table using this function rule.
Y = - 5x+1


— 1

0

1

2

Answer 1

To fill in the table using the function rule \(Y = -5x + 1\), we will substitute each value of \(x\) into the equation to calculate the corresponding value of \(Y\).

1. For \(x = -1\):
\[
Y = -5(-1) + 1 = 5 + 1 = 6
\]

2. For \(x = 0\):
\[
Y = -5(0) + 1 = 0 + 1 = 1
\]

3. For \(x = 1\):
\[
Y = -5(1) + 1 = -5 + 1 = -4
\]

4. For \(x = 2\):
\[
Y = -5(2) + 1 = -10 + 1 = -9
\]

Now we can summarize the results in the table:

\[
\begin{array}{|c|c|}
\hline
x & Y \\
\hline
-1 & 6 \\
0 & 1 \\
1 & -4 \\
2 & -9 \\
\hline
\end{array}
\]