What is the range of the function g of x is equal to start absolute value x minus 12 end absolute value minus 2 ?
Answer
A
start set y such that y is greater than or equal to 12 end set
B
start set y such that y is greater than negative 2 end set
C
start set y such that y is greater than 12 end set
D
start set y such that y is greater than or equal to negative 2 end set
Explanation
Since |x − 12| is always at least 0, g(x) = |x − 12| − 2 is always at least −2. It reaches −2 when x = 12, so the range is all y values greater than or equal to −2: choice B.
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