Question
Download Solution PDFComprehension
Let the curve f(x) = |x - 3|
What is the domain of the function (f(x))?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Given,
The function is \(f(x) = |x - 3| \), which is an absolute value function.
The domain of an absolute value function \(f(x) = |x - a| \) is all real numbers, because the absolute value function is defined for all values of x. The function handles both positive and negative inputs for x .
Since there are no restrictions or undefined points for the absolute value function, the domain is all real numbers.
∴ The domain of the function is \((-\infty, \infty) \)
Hence, the correct answer is Option 3.
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