Question

What type of conic section is given by the equation 4x2+ 9y2 = 36? What are its domain and range?

A. circle
domain: {x | –6 ≤ x ≤ 6, x set membership R}
range: {y | –6 ≤ y ≤ 6, y set membership R}
B. ellipse
domain: {x | –3 ≤ x ≤ 3, x set membership R}
range: {y | –2 ≤ y ≤ 2,y set membership R}
C. circle
domain: {x | –2 ≤ x ≤ 2, x set membership R}
range: {y | –2 ≤ y ≤ 2,y set membership R}
D. ellipse
domain: {x | –2 ≤ x ≤ 2, x set membership R}
range: {y | –3 ≤ y ≤ 3,y set membership R}

Answer 1

B. ellipse
domain: {x | –3 ≤ x ≤ 3, x set membership R}
range: {y | –2 ≤ y ≤ 2, y set membership R}