Problem 1 (10 points). Let f(x) = ex (a) Find the intervals where f is increasing or decreasing. (b) Find the relative maxima and minima. (c) Find the intervals where f is concave up or concave down and find the inflection points. Problem 2 (6 points). Explain in your own words what a relative maximum is. For each of the four functions shown below, then decide if there is a relative maximum at c = 2 and explain why or why not. 2 2 f (x) -5 -5 5 h(r ) 2 4 2 4 -5 -5 /j(1)