The function h is defined by the following rule. h(x) = 4x+5 Complete the function table.

x h (x)
-3 _
-1 _
0 _
2 _
3 _

_ this symbol means there is an empty space

3 answers

To complete the function table for \( h(x) = 4x + 5 \), we will plug in the given values of \( x \) into the function and calculate \( h(x) \).

  1. For \( x = -3 \): \[ h(-3) = 4(-3) + 5 = -12 + 5 = -7 \]

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

  3. For \( x = 0 \): \[ h(0) = 4(0) + 5 = 0 + 5 = 5 \]

  4. For \( x = 2 \): \[ h(2) = 4(2) + 5 = 8 + 5 = 13 \]

  5. For \( x = 3 \): \[ h(3) = 4(3) + 5 = 12 + 5 = 17 \]

Now, we can fill in the function table:

\[ \begin{array}{|c|c|} \hline x & h(x) \ \hline -3 & -7 \ -1 & 1 \ 0 & 5 \ 2 & 13 \ 3 & 17 \ \hline \end{array} \]

whats the answer

Here is the completed function table for \( h(x) = 4x + 5 \):

\[ \begin{array}{|c|c|} \hline x & h(x) \ \hline -3 & -7 \ -1 & 1 \ 0 & 5 \ 2 & 13 \ 3 & 17 \ \hline \end{array} \]

So the values of \( h(x) \) for each \( x \) are:

  • For \( x = -3 \), \( h(-3) = -7 \)
  • For \( x = -1 \), \( h(-1) = 1 \)
  • For \( x = 0 \), \( h(0) = 5 \)
  • For \( x = 2 \), \( h(2) = 13 \)
  • For \( x = 3 \), \( h(3) = 17 \)