In the graph below, the function f(x) is graphed with a bold, blue curve, and the function g(x) with a light, red curve. Assume that the behavior of both functions as x → ∞ is accurately suggested by the domain on which they are graphed in the figure. Suppose ∫ a ∞ f(x)dx converges. What does this graph suggest about the convergence of ∫ a ∞ g(x)dx? A. ∫ a ∞ ∞ g(x)dx converges B. ∫ a ∞ g(x)dx diverges C. the graph does not provide enough information to suggest with any certainty whether ∫ a ∞ g(x)dx converges or diverges D. ∫ a ∞ g(x)dx neither converges nor diverges

In the graph below, the function f(x) is graphed with a bold, blue curve, and the function g(x) with a light, red curve. Assume that the behavior of both functions as x → ∞ is accurately suggested by the domain on which they are graphed in the figure. Suppose ∫ a ∞ f(x)dx converges. What does this graph suggest about the convergence of ∫ a ∞ g(x)dx? A. ∫ a ∞ ∞ g(x)dx converges B. ∫ a ∞ g(x)dx diverges C. the graph does not provide enough information to suggest with any certainty whether ∫ a ∞ g(x)dx converges or diverges D. ∫ a ∞ g(x)dx neither converges nor diverges

Image text
In the graph below, the function f ( x ) is graphed with a bold, blue curve, and the function g ( x ) with a light, red curve. Assume that the behavior of both functions as x is accurately suggested by the domain on which they are graphed in the figure.
Suppose a f ( x ) d x converges. What does this graph suggest about the convergence of a g ( x ) d x ?
A. a g ( x ) d x converges
B. a g ( x ) d x diverges
C. the graph does not provide enough information to suggest with any certainty whether a g ( x ) d x converges or diverges
D. a g ( x ) d x neither converges nor diverges

Detailed Answer