Math Problem Statement

Evaluate the function below at x = -6. f(x) = 3x - 7

Solution

We are given the function:

f(x)=3x7f(x) = 3x - 7

You are asked to evaluate f(6)f(-6).

To do this, substitute x=6x = -6 into the function:

f(6)=3(6)7=187=25f(-6) = 3(-6) - 7 = -18 - 7 = -25

Thus, f(6)=25f(-6) = -25.

Would you like further explanation or any related questions? Here are 5 more questions to expand on this:

  1. What would f(x)f(x) equal if x=0x = 0?
  2. How would you graph the function f(x)=3x7f(x) = 3x - 7?
  3. What is the slope of the function f(x)=3x7f(x) = 3x - 7?
  4. How does the function f(x)=3x7f(x) = 3x - 7 behave as xx \to \infty?
  5. Can you determine the x-intercept of the function f(x)=3x7f(x) = 3x - 7?

Tip: When evaluating functions, always remember to replace the variable with the given value and follow the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Algebra
Function Evaluation

Formulas

f(x) = 3x - 7

Theorems

Basic Function Substitution

Suitable Grade Level

Grades 6-8