Math Problem Statement

f(8)=|8|

Solution

The function f(8)=8f(8) = |8| represents the absolute value of 8.

The absolute value of a number is the distance of that number from zero on the number line, regardless of the direction. In this case:

8=8|8| = 8

Therefore, f(8)=8f(8) = 8.

Would you like more details or further explanations on absolute values?

Here are five related questions for further exploration:

  1. What is f(8)f(-8) if f(x)=xf(x) = |x|?
  2. How does the absolute value function behave for negative numbers?
  3. What is the derivative of the absolute value function, f(x)=xf(x) = |x|, for x=8x = 8?
  4. How can we use the absolute value function to describe distances on the number line?
  5. What is the absolute value of 0|0| and why?

Tip: Absolute values always return a non-negative result, regardless of whether the input is positive or negative.

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Math Problem Analysis

Mathematical Concepts

Algebra
Absolute Value

Formulas

|x| = x if x ≥ 0
|x| = -x if x < 0

Theorems

Absolute Value Theorem: The absolute value of a real number is its distance from zero on the number line.

Suitable Grade Level

Grades 6-8