Domain Range 88758B
1. Problem: Find the domain and range of $f(x) = |x - 3|$.
2. The function $f(x) = |x - 3|$ is an absolute value function.
3. Domain: The absolute value function is defined for all real numbers, so the domain is:
$$\text{Domain} = (-\infty, \infty)$$
4. Range: Since absolute value outputs non-negative values, the smallest value of $|x - 3|$ is 0 when $x=3$. Therefore, the range is:
$$\text{Range} = [0, \infty)$$
Final answer:
Domain: $(-\infty, \infty)$
Range: $[0, \infty)$