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Find the range of each of the following ...

Find the range of each of the following functions: `f(x)=|x-3|`
`f(x)=1-|x-2|`
`f(x)=(|x-4|)/(x-4)`

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To find the range of the given functions, we will analyze each function step by step. ### Function 1: \( f(x) = |x - 3| \) 1. **Understanding the function**: The function \( f(x) = |x - 3| \) represents the absolute value of \( x - 3 \). This means it measures the distance of \( x \) from 3 on the number line. 2. **Finding the minimum value**: The absolute value function is always non-negative. The minimum value occurs when \( x = 3 \): \[ ...
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