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41 DETAILS Below is the graph of a piecewise function f(x). y 3 2 1 X 6-54-3 -2-1 1 2 3 4 5 6 -1 -2 -3 y = f(x) (a) lim f(x)= x- -at O 3 O 1 O - 3 O DNE O 2 (b) Is f(x) differentiable at x = 4? O true O false (c) Find the domain of f(x). O [-6,6] O [-6,-4) U (-4,2) U (2,6) O (-6,-4) U (-4,6) O [-6,-4) U (-4,6) O [-6,6) O (-6,-4) U (-4,2) U (2,6) O [-6,2) U (2,6) O (-6,2) U (2, 6) (d) Find the range of f(x). O [-3,4] O [-3,3] O (-3,3) O (-3,4] O [-3,2) U (2,4] O (-3,2) U (2,4] O [-3,1) U (1,4] O (-3,1) U (1,4]40 DETAILS MY NOTES ASK YOUR TEACHER Fencing. A fence is to be built around a rectangular area of 14 square metres. The dimensions are x and y. On one of the sides with length x, there is a gap of 0.5x that has no fence. The goal is to find the dimensions for the minimum fence length. (a) The length equation can be expressed as O L(x)=14+2x O L( x ) = 2x+. 28 X O L(x)=1.5x+_ 28 X O L( x ) = 1.5x+_ 14 X O L(x)=1.5x+ 28 (b) The length x for the minimum fence length is O 1.8001 m 4.1572 m 2.9396 m None of the other answers O 4.3205 m