Below is the graph of a piecewise function f(x). 4 3 2 X -6 -5 14 -3 -2 -1 1 2 3 4 5 6 - 1 - 2 -3 y = f( x) 4- (a) lim f(x)= x- -4 O DNE O 1 O - 3 0 3 O 2 (b) Is f(x) differentiable at x = 4? O true false (c) Find the domain of f(x). O [-6,2) U (2,6) O (-6,2) U (2,6) O (-6,-4) U (-4,6) O [-6,6] O (-6,-4) U (-4,2) U (2,6) O [-6,6) O [-6,-4) U (-4,2) U (2,6) O [-6,-4) U (-4,6) (d) Find the range of f(x). O (-3,4] O (-3,1) U (1,4 ] O [-3,3] O (-3,3) O [-3,4] O [-3,1) U (1,4 ] O [-3,2) U (2,4] O (-3,2) U (2,4]Integrals. Given that 0 - 1 5 f (x) dx = - 3, f(x) dx = -1 and f (x) dx = 9 -5 - 5 what is 2f(x) dx? O 1.75 O 28 0 - 7 O -3.5 O 56 O 14 O 3.5 07Suppose a call center projects the number of calls per hour to increase based on the function f (x) = 4(x + 4)2 Using the definition of the derivative, f'(x) is equal to O None of the other answers O 8h + 4h2+ 4hx h O lim 32h + 4h2 + 8hx h - 0 O lim 8h + 4h-+ 4hx h - 0 h 32h + 4h2 + 8hx h O lim 32h + 4h2 + 8hx h - 0 hArea. Suppose the area of a circle is decreasing at a rate of 1 m2/sec, the rate of change of the radius when the area is 11 m2 equals 0.0851 m/s O 69.1150 m/s 0 -11.7571 m/s O -69.1150 m/s 0 -0.0851 m/s O 11.7571 m/s Radioactive Decay. Suppose the volume of a radioactive substance (in kg) follows the exponential decay model 00) = Quekt If after 11 years, the volume is 40% of its original size, what is the decay constant k? 0 5.5 0 0.0832 0 0.0833 None of the other answers 0 -10.0792 O 22 O 11 0 -10.0791