Math Problem Statement

solve

Complete the function table for g(x) = -3x - 3 with the given x values.

Solution

To complete the function table, we'll use the function g(x)=−3x−3g(x) = -3x - 3.

  1. For x=−4x = -4: g(−4)=−3(−4)−3=12−3=9g(-4) = -3(-4) - 3 = 12 - 3 = 9

  2. For x=−2x = -2: g(−2)=−3(−2)−3=6−3=3g(-2) = -3(-2) - 3 = 6 - 3 = 3

  3. For x=0x = 0: g(0)=−3(0)−3=0−3=−3g(0) = -3(0) - 3 = 0 - 3 = -3

  4. For x=3x = 3: g(3)=−3(3)−3=−9−3=−12g(3) = -3(3) - 3 = -9 - 3 = -12

  5. For x=5x = 5: g(5)=−3(5)−3=−15−3=−18g(5) = -3(5) - 3 = -15 - 3 = -18

The completed function table is:

x & g(x) \\ \hline -4 & 9 \\ -2 & 3 \\ 0 & -3 \\ 3 & -12 \\ 5 & -18 \\ \end{array}$$

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Function Tables
Substitution

Formulas

g(x) = -3x - 3

Theorems

-

Suitable Grade Level

Grades 6-8

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