The function his defined by the following rule.

h (x) = 2x+3
Complete the function table.

x H (x)
-4

- 1

0

4

5

1 answer

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:

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

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