Use a graphing utility to select the graph of the function $$y = \frac { 6 } { x } + \cos x , x 0$$
A)
B)
C)
D)
E)

Question

Use a graphing utility to select the graph of the function​ $$y = \frac { 6 } { x } + \cos x , x > 0$$ ​ ​
A)​ 
B)​ 
C)​ 
D)​ 
E) ​

Quizplus · Accepted Answer

The graph of the function is a sinusoidal wave, since the coefficient of x inside the sine function is 3/2, which determines its period. The correct graph is a sine wave that has a period of 4π/3, crosses the x-axis at x = π/6 and x = 7π/6, and has a maximum of 4 at x = π/2 and a minimum of -4 at x = 3π/2. The only graph that satisfies these conditions is option B.

Use a Graphing Utility to Select the Graph of the Function​

Use a Graphing Utility to Select the Graph of the Function