Piecewise Function. Let f(x) be the function whose graph is shown below. y 3- X -2 2 3 y = f ( x) (a) Evaluate the function f(x) and limits at the indicated value. Note: If an answer does not exist, enter DNE. f(1) = lim f( x) = x- 1- lim f(x) = x -1+ lim f ( x ) = x- 1 (b) Is f(x) continuous at x = 1? false O true (c) The domain of f(x) is O (-2,-1) U (-1,3) O [-2,3] O [-2,1) U (1,3] O (-2,-1) U (-1,1) U (1, 3) O (-2,-1) U (-1,3] None of the other answers O [-2,-1) U (-1,1) U (1,3 ] O (-00, 00)Cost. Suppose the cost of a new product for the first 10 days is modelled by the equation C(t) = 4:2 + 4t + 5 where C(t) is the cost in $/day and t is in days. Note: Enter your answers as a fraction or a decimal rounded to four (4) decimair places without units. (a) The average rate of change of the cost between 1 and 9 days is sis/day (b) The instantaneous rate of change of the cost when t = 9 is $/day Determine whether the statement is true or false. If h = fg where f and g have second-order derivatives, then h"(x) # f"g + 2f'g'+ fg". O True O False