Q. Compare the domain and range for f(x)=∣x∣ and g(x)=∣x∣
Identify Domain of f(x): Step 1: Identify the domain of f(x)=∣x∣.Since the absolute value function is defined for all real numbers, the domain of f(x)=∣x∣ is all real numbers.
Identify Range of f(x): Step 2: Identify the range of f(x)=∣x∣. The absolute value function outputs non-negative values, so the range of f(x)=∣x∣ is y≥0.
Identify Domain of g(x): Step 3: Identify the domain of g(x)=∣x∣. Like f(x), g(x)=∣x∣ is also defined for all real numbers, so the domain of g(x)=∣x∣ is all real numbers.
Identify Range of g(x): Step 4: Identify the range of g(x)=∣x∣.Similarly to f(x), the range of g(x)=∣x∣ is also y≥0.
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