Now, complete the input and output table. You can solve on paper and then enter your answer on Zearn.

Question

x
Input Output Arrow
2x+3
Input Output Arrow
y

y=2x+3
x y
8
1
2
−5

Answer 1

To complete the input-output table for the function \( y = 2x + 3 \), we need to calculate the value of \( y \) for each given \( x \).

Here’s how to fill out the table:

1. When \( x = 8 \): \[ y = 2(8) + 3 = 16 + 3 = 19 \]

2. When \( x = 1 \): \[ y = 2(1) + 3 = 2 + 3 = 5 \]

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

4. When \( x = -5 \): \[ y = 2(-5) + 3 = -10 + 3 = -7 \]

Now, we can fill out the completed input-output table as follows:

\[ \begin{array}{|c|c|} \hline x & y \ \hline 8 & 19 \ 1 & 5 \ 2 & 7 \ -5 & -7 \ \hline \end{array} \]

So the completed input-output table is:

• \( x = 8 \) → \( y = 19 \)
• \( x = 1 \) → \( y = 5 \)
• \( x = 2 \) → \( y = 7 \)
• \( x = -5 \) → \( y = -7 \)

This is the final output for the table.