Math Problem Statement

Evaluate the function f(x) = 2 - 8x when x = -6.

Solution

The problem asks you to evaluate the function f(x)=28xf(x) = 2 - 8x when x=6x = -6. To solve this, you substitute x=6x = -6 into the equation:

f(6)=28(6)f(-6) = 2 - 8(-6)

Simplifying this expression:

f(6)=2+48=50f(-6) = 2 + 48 = 50

Thus, the value of the function when x=6x = -6 is:

f(6)=50f(-6) = 50

If you need further clarification or have other questions, feel free to ask!

Here are some related questions:

  1. How do you evaluate functions with different types of expressions?
  2. What does the notation f(x)f(x) represent in general?
  3. How do you solve a function evaluation step by step?
  4. How does changing the value of xx affect the output of the function?
  5. What are some common mistakes people make when evaluating functions?

Tip: Always double-check your signs when substituting values into the equation to avoid errors, especially with negative numbers!

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Math Problem Analysis

Mathematical Concepts

Function Evaluation
Linear Functions
Substitution

Formulas

f(x) = 2 - 8x

Theorems

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Suitable Grade Level

Grades 6-8