Answer:
The correct answer is B.
Step-by-step explanation:
Any point can be represented in polar form by using the notation:
[tex]A = (r, \theta)[/tex] (1)
And any polar function must satisfy the following definition:
[tex]r = f(\theta)[/tex]
Let [tex]r(\theta) = 4\cdot \cos 2\theta[/tex], where [tex]r[/tex] is the radial distance of any point of the curve from origin and [tex]\theta[/tex] is the direction of any point of the curve with respect to +x semiaxis, measured in radians.
Finally, we proceed to graph the function with the help of a graphing tool and attach the result.
Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:
[tex]Dom\{f\} = [-4,4][/tex], [tex]Ran\{f\} = [-4,4][/tex]
Then, the correct answer is B.
