Provide an appropriate response.
-Give a verbal description of the region and determine whether R is a regular x region, regular y region, both, or neither.
A) R consists of the points on or inside the rectangle with corners (±3, ±6); both
B) R consists of the points on or inside the rectangle with corners (±6, ±3); regular x region
C) R consists of the points on or inside the rectangle with corners (±6, ±3); both
D) R consists of the points on or inside the rectangle with corners (±6, ±3); neither

Question

Provide an appropriate response.
-Give a verbal description of the region  and determine whether R is a regular x region, regular y region, both, or neither.
A) R consists of the points on or inside the rectangle with corners (±3, ±6); both 
B) R consists of the points on or inside the rectangle with corners (±6, ±3); regular x region 
C) R consists of the points on or inside the rectangle with corners (±6, ±3); both 
D) R consists of the points on or inside the rectangle with corners (±6, ±3); neither

Quizplus · Accepted Answer

R is a rectangle in the xy-plane, defined by its corners located at (±6, ±3). Since the sides are parallel to both the x and y axes, it is a regular x region and a regular y region, and thus, the correct answer is C. R is a rectangle with sides parallel to both the x and y axes, so it is both a regular x region and a regular y region. The corners of the rectangle are (+6, +3), (-6, +3), (+6, -3), and (-6, -3). Therefore, choice C is the best answer.

Provide an Appropriate Response