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In the function f(x) = |x - 2|, what is the value of f(2)?

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Question: In the function f(x) = |x - 2|, what is the value of f(2)?

Options:

  1. 0
  2. 1
  3. 2
  4. Undefined

Correct Answer: 0

Solution: 

Substituting x = 2 gives f(2) = |2 - 2| = |0| = 0.

In the function f(x) = |x - 2|, what is the value of f(2)?

Practice Questions

Q1
In the function f(x) = |x - 2|, what is the value of f(2)?
  1. 0
  2. 1
  3. 2
  4. Undefined

Questions & Step-by-Step Solutions

In the function f(x) = |x - 2|, what is the value of f(2)?
  • Step 1: Identify the function given, which is f(x) = |x - 2|.
  • Step 2: Substitute the value of x with 2 in the function. So, we calculate f(2) = |2 - 2|.
  • Step 3: Perform the subtraction inside the absolute value. This gives us f(2) = |0|.
  • Step 4: Calculate the absolute value of 0. The absolute value of 0 is 0.
  • Step 5: Conclude that f(2) = 0.
  • Absolute Value Function – Understanding how to evaluate absolute value expressions, particularly at specific points.
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