Let's go through the answer choices to see which are true or which are false.
A) False. As we move to the right, the curve does not go on forever downward. Refer to choice B.
B) False. Plug in something like x = 1 to find that y = 3/8 = 0.375; showing that the curve dips below the horizontal line y = 1. As x gets bigger, y gets smaller (but stays positive). So this curve is not approaching y = 1 as x heads to infinity. Instead, it's approaching y = 0 which is the x axis. This is the horizontal asymptote. Think of it like an electric fence you can get close to, but not touch.
C) True. Going to the left means that the curve heads forever upward.
D) False. Choice C mentions f(x) increasing without bound as x heads to the left. If you change "decreases" to "increases", then statement D would be true.
