Below is the graph of a piecewise function f(x). y 3 2 X -5 4 -3 -2-1 1 2 3 4 5 6 -1 -2 -3 y = f(x) -4 (a) lim f(x)= x- -41 O DNE O 2 03 O -3 O 1 (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 (-6,2) U (2, 6) O (-6, -4) U (-4, 2) U (2, 6) O [-6,2) U (2,6) O [-6,6) O (-6, -4) U (-4,6) O [-6,6] O [-6,-4) U (-4, 2) U (2, 6)\fThen the equation of the tangent line to the function p(x) at x = 1 is y=23x y=20x+17 y=23x+14 y=20x y=20x+-6 y=23x+-6 y=20x+-3 None of the other answers Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish, was modelled by the equation 3x+6 f(t)= 2+4x+2 X where t is measured in years and fur) in kilograms per year. Consider the integral 2 3X + 6 2 dx 0 x + 4x + 2 After substitution into 11, the new integral can be written b fdu all (a) The value ofA is 1.5 x+2 3x 3x+2 (b) The upper limit of integration b is 4 14