Math Problem Statement

Complete the table of values showing the corresponding ordered pairs for function g(x) = -2 · f(-x), given the values of f(x).

Solution

We are given two functions, f(x)f(x) and g(x)=2f(x)g(x) = -2 \cdot f(-x). The values for f(x)f(x) at specific points are provided in the table. Our task is to find the corresponding values of g(x)g(x) using the relation g(x)=2f(x)g(x) = -2 \cdot f(-x).

Let’s compute the values for g(x)g(x):

  1. First row:
    • x=4x = -4
    • To find g(4)g(-4), we need f(4)f(4).
    • From the table, f(4)f(4) is not given directly. However, using interpolation or another method might be needed if more context were provided.

We will compute each step according to the table values and the formula provided. Would you like to proceed with

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Math Problem Analysis

Mathematical Concepts

Functions
Function Transformations
Function Evaluation

Formulas

g(x) = -2 · f(-x)

Theorems

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Suitable Grade Level

Grades 9-10