A. False. The graph is always decreasing (see attached image). The curve slopes downhill as you read it from left to right.
B. False. Negative x values are allowed. Also, x = 0 is allowed.
C. False. The proper range is y > 0
D. True. Plugging in x = 0 leads to f(x) = 1. The graph in the attached image confirms this answer. The red curve crosses the vertical y axis at 1, which is the point (0,1) the y intercept in this case.