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The range of the function f(x)=|x-1| is ...

The range of the function `f(x)=|x-1|` is
A. `(-oo,0)`
B. `[0,oo)`
C. `(0,oo)`
D. `R`

Text Solution

AI Generated Solution

To find the range of the function \( f(x) = |x - 1| \), we can analyze the function step by step. ### Step 1: Understanding the Absolute Value Function The function \( f(x) = |x - 1| \) represents the absolute value of \( x - 1 \). The absolute value function always outputs non-negative values, meaning \( f(x) \geq 0 \) for all \( x \). **Hint:** Recall that the absolute value of any expression is always greater than or equal to zero. ### Step 2: Finding the Minimum Value ...
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