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Below is the graph of a piecewise function f(x). y 4 3 2 X $4 -3 -2 -1 1 2 3 4 5 6 -2
Below is the graph of a piecewise function f(x). y 4 3 2 X $4 -3 -2 -1 1 2 3 4 5 6 -2 -3 y = f(x) -4 (a) lim f(x)= x - - 4+ 0 3 O 1 0 2 O DNE O - 3 (b) Is f(x) differentiable at x = 4? false O true (c) Find the domain of f(x). 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) O (-6, -4) U ( - 4, 2 ) U ( 2, 6 ) O [-6, 6) (d) Find the range of f(x). O [-3, 2) U (2,4]\fSuppose the price of land in a city is given by the function 1 2 2 P(x,y) : 375 10(x 3 15(y 1) where P(x,y) is the price of land at the point (x,y) in dollars per square metre and x and y are measured in kilometres. At what point within the city is the price of land highest? \" 6%) " (2,2) (1%) 7' (1,1) " None of the other answers lei-s) Revenue. Suppose the graph of the revenue R(x) and cost C(X) are shown below where R(x) = x22.5x+2 and C(X) = x2 + 2 The profit, or the area enclosed between the two curves is 0.651 10.6667 -6.9375 none of the other answers -0.651 6.9375 -10.6667
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