If f(x) = |x|, what is f(-3)?

Practice Questions

Q1
If f(x) = |x|, what is f(-3)?
  1. -3
  2. 3
  3. 0
  4. undefined

Questions & Step-by-Step Solutions

If f(x) = |x|, what is f(-3)?
  • Step 1: Identify the function f(x) which is given as f(x) = |x|.
  • Step 2: Substitute -3 into the function. This means we need to find f(-3).
  • Step 3: Replace x with -3 in the function: f(-3) = |-3|.
  • Step 4: Calculate the absolute value of -3. The absolute value of a number is its distance from 0 on the number line, which is always positive.
  • Step 5: Since |-3| = 3, we find that f(-3) = 3.
  • Absolute Value Function – Understanding the definition and properties of the absolute value function, which returns the non-negative value of a number.
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