Sketching a graph using given characteristics...I'm stumped
Ok so maybe this is easy, maybe it's not. At least for me it seems impossible; I'm absolutely horrible with graphs. But here's the problem. Help please?
Sketch a graph with the following characteristics: f(-2),f'(-2), and f''(-2) are all negative; f'(0) does not exist; f(x) has a local maximum at the point (2,3); there is exactly one point of inflection on the interval (0,2); and the limit of f(x) as x goes to infinity is equal to -1