What I am supposed to do to get a function in absolute value?

Graph f(x). To graph | f(x) | reflect all negative values in the x-axis. To get g(x), shift | f(x) | up one unit. Rolle's theorem applies on the interval [–3/2, 0] since g(–3/2) = g(0), g(x) is continuous on [–3/2, 0], and g(x) is differentiable on (–3/2, 0). It also applies on any interval in [0, ∞) that contains x = 3/2 (the local max). It does not apply on (–∞, –3/2) since g is strictly decreasing on this interval.