A rectangle has a length that is equal to 4 less than twice the width. The function for the perimeter depending on the width can be expressed with the function f(w) = 6w – 8, where w is the width of the rectangle in centimeters.

The rule f(w) = 6w − 8 is a linear function, so its mathematical domain is all real numbers. For a real rectangle, the width must be positive and the length, 2w − 4, must also be positive. Solving 2w − 4 > 0 gives w > 2, so the reasonable domain is real numbers greater than 2. The correct choice is C: all real numbers mathematically, and real numbers greater than 2 reasonably.

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