The function g is defined by the following rule.

Question

g (x)=-4x+1
Complete the function table.

X G (x)

-2

-1

0

2

4

Answer 1

To complete the function table for \( g(x) = -4x + 1 \), we will evaluate the function for each given value of \( x \).

1. For \( x = -2 \): \[ g(-2) = -4(-2) + 1 = 8 + 1 = 9 \]

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

3. For \( x = 0 \): \[ g(0) = -4(0) + 1 = 0 + 1 = 1 \]

4. For \( x = 2 \): \[ g(2) = -4(2) + 1 = -8 + 1 = -7 \]

5. For \( x = 4 \): \[ g(4) = -4(4) + 1 = -16 + 1 = -15 \]

Now, we can complete the function table:

\[ \begin{array}{|c|c|} \hline X & G(x) \ \hline -2 & 9 \ -1 & 5 \ 0 & 1 \ 2 & -7 \ 4 & -15 \ \hline \end{array} \]