Subjects algebra

Domain Range 88758B

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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: $[0, \infty)$