Math Problem Statement

f(x) = /x/ what is f(-3)

Solution

The function you are referring to is the absolute value function, which is denoted as f(x)=xf(x) = |x|. The absolute value of a number is its distance from zero on the number line, without regard to direction.

To evaluate f(3)f(-3):

f(3)=3=3f(-3) = |-3| = 3

So, f(3)=3f(-3) = 3.

Would you like further details on absolute value functions or have any other questions? Here are some related questions:

  1. What is the graph of f(x)=xf(x) = |x| like?
  2. How does the absolute value function behave for positive values of xx?
  3. What are some properties of absolute value functions?
  4. Can the absolute value function be expressed in piecewise form?
  5. How do you solve equations involving absolute value?

Tip: Absolute value functions always yield non-negative outputs, regardless of whether the input is positive or negative.

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Math Problem Analysis

Mathematical Concepts

Absolute Value Functions
Functions
Evaluation of Functions

Formulas

f(x) = |x|

Theorems

Properties of Absolute Value

Suitable Grade Level

Grades 6-8