Math Problem Statement
f(8)=|8|
Solution
The function 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:
Therefore, .
Would you like more details or further explanations on absolute values?
Here are five related questions for further exploration:
- What is if ?
- How does the absolute value function behave for negative numbers?
- What is the derivative of the absolute value function, , for ?
- How can we use the absolute value function to describe distances on the number line?
- What is the absolute value of 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