What is the range of the function f of x is equal to 3 fourths absolute value of x minus 3 ?

Since |x| is always at least 0, (3/4)|x| is also at least 0. Subtracting 3 means f(x) is always at least −3, and it reaches −3 when x = 0. So the range is all real numbers greater than or equal to −3, choice C.

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