Consider the following function. f ( x) = x In(x) (a) Graph the function. f (x) f(x) f(x ) 3 f (x) 3 3 2 2 N 2 1 1 1 0.5 1.0 1.5 2.0 0.5 X X 1.0 1.5 2.0 0.5 X 0.5 1.0 1.0 1.5 1.5 2.0 -1 2.0 -1 -1 - 1 -2 -2 - 2 -2 10-3 0-3 (b) Use I'Hospital's Rule to determine the limit as x - of. 0 (c) Use calculus to find the minimum value. 1 51 Find the interval where the function is concave up. (Enter your answer in interval notation.) 20 Find the interval where the function is concave down. (Enter your answer in interval notation.) 0.e