Look at the graphs of f(x) and g(x), shown below.
Which statement is true?
A.
f(x) exceeds g(x) when x > 0.
B.
g(x) exceeds f(x) as x approaches positive infinity.
C.
f(x) exceeds g(x) as x approaches positive infinity.
D.
g(x) exceeds f(x) when x < 0.
The correct answer is D.
At x < 0, g(x) is greater than f(x). As x approaches positive infinity, f(x) approaches 2 and g(x) approaches 1, so option B is incorrect. Option A is incorrect because f(x) is always less than g(x) when x > 0. Option C is incorrect because f(x) is always less than g(x) as x approaches positive infinity.