Provide an appropriate response.
-If an ellipse has vertices at (-6, 0), (6, 0), (0, 2), and (0, -2), what is its domain? What is its range?
A) Domain: $[ - 6,2 ]$; Range: $[ - 2,6 ]$
B) Domain: $[ - 6,6 ]$; Range: $[ - 2,2 ]$
C) Domain: $[ - 2,2 ]$; Range: $[ - 6,6 ]$
D) Domain: $[ 0,6 ]$; Range: $[ 0,2 ]$

Question

Provide an appropriate response.
-If an ellipse has vertices at (-6, 0), (6, 0), (0, 2), and (0, -2), what is its domain? What is its range? 
A) Domain: $[ - 6,2 ]$; Range: $[ - 2,6 ]$
B) Domain: $[ - 6,6 ]$; Range: $[ - 2,2 ]$
C) Domain: $[ - 2,2 ]$; Range: $[ - 6,6 ]$
D) Domain: $[ 0,6 ]$; Range: $[ 0,2 ]$

Quizplus · Accepted Answer

The domain of an ellipse is determined by its vertices along the x-axis, which are (-6, 0) and (6, 0), so the domain is $[-6, 6]$. The range is determined by its vertices along the y-axis, which are (0, 2) and (0, -2), so the range is $[-2, 2]$.

Provide an Appropriate Response [−6,2][ - 6,2 ][−6,2] ; Range [−2,6][ - 2,6 ][−2,6]

Provide an Appropriate Response $[ - 6,2 ]$ ; Range $[ - 2,6 ]$