Question

Complete the table of values for f(x) = 3x + 8 and g(x) = 8x ^ 2 - 2

X

0

1

2

3

Answer 1

To complete the table of values for the functions \( f(x) = 3x + 8 \) and \( g(x) = 8x^2 - 2 \), we can calculate the values for each function at \( x = 0, 1, 2, \) and \( 3 \).

### For \( f(x) = 3x + 8 \):
- \( f(0) = 3(0) + 8 = 8 \)
- \( f(1) = 3(1) + 8 = 3 + 8 = 11 \)
- \( f(2) = 3(2) + 8 = 6 + 8 = 14 \)
- \( f(3) = 3(3) + 8 = 9 + 8 = 17 \)

### For \( g(x) = 8x^2 - 2 \):
- \( g(0) = 8(0)^2 - 2 = 0 - 2 = -2 \)
- \( g(1) = 8(1)^2 - 2 = 8 - 2 = 6 \)
- \( g(2) = 8(2)^2 - 2 = 32 - 2 = 30 \)
- \( g(3) = 8(3)^2 - 2 = 72 - 2 = 70 \)

### Completed Table of Values:
\[
\begin{array}{|c|c|c|}
\hline
x & f(x) & g(x) \\
\hline
0 & 8 & -2 \\
1 & 11 & 6 \\
2 & 14 & 30 \\
3 & 17 & 70 \\
\hline
\end{array}
\]