Let (u, v) = (e u , e u+v ). (a) Is one-to-one? What is the image of ? (b) Describe the images of

Let Φ(u, v) = (e^u, e^u+v).
(a) Is Φ one-to-one? What is the image of Φ?
(b) Describe the images of the vertical lines u = c and the horizontal lines v = c.