Question

The function his defined by the following rule.
h (x) = 2x+3
Complete the function table.

x H (x)
-4

- 1

0

4

5

Answer 1

To complete the function table for \( h(x) = 2x + 3 \), we will calculate \( h(x) \) for each given value of \( x \).

1. For \( x = -4 \):
\[
h(-4) = 2(-4) + 3 = -8 + 3 = -5
\]

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

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

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

5. For \( x = 5 \):
\[
h(5) = 2(5) + 3 = 10 + 3 = 13
\]

Now, we can complete the function table:

\[
\begin{array}{|c|c|}
\hline
x & h(x) \\
\hline
-4 & -5 \\
-1 & 1 \\
0 & 3 \\
4 & 11 \\
5 & 13 \\
\hline
\end{array}
\]