Problem

Question () Watch Video Show Use graphing technology to find the domain of the function $f(x)=-|x-4|$. Answer Attempt 1 out of 2 Submit Answer $\phi \quad$ or or $\infty$ [,] [,) (.) (.) All Real Numbers

Solution

Step 1 :The function is f(x)=-|x-4|

Step 2 :The absolute value of a number is always non-negative, so |x-4| is always greater than or equal to zero

Step 3 :Therefore, -|x-4| is always less than or equal to zero

Step 4 :The range of f(x) is the set of all non-positive real numbers

Step 5 :The domain of a function is the set of all possible input values

Step 6 :Therefore, the domain of f(x) is all real numbers

Step 7 :\(\boxed{\text{All Real Numbers}}\)

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Source: https://solvelyapp.com/problems/C7nb7jv1O8/

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