SOLUTION: I need help with this: https://imgur.com/F0nowam

Question 1117685: I need help with this: https://imgur.com/F0nowam
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the domain is all possible values of x that lead to one or more real values of y.
that would be -2 <= x <= 2.

the range is all real values of y that are the result of the equation working on all real values of x.
that would be -3 <= y <= 3

the y-intercepts are the value of y when the value of x is equal to 0.
those points would be (0,-3) and (0,3).

the x-intercepts are the value of x when the value of y is equal to 0.
those point would be (-2,0) and (2,0).

the center of the ellipse is at (0,0).
that point is in the middle of the ellipse.

unlike a circle, the distance to every point on the ellipse is not the same.
however, the center of the ellipse is at the center of any line drawn through it that is intersecting with the perimeter of the ellipse.

the two lines intersecting with the perimeter of the ellipse shown are the major axis and the minor axis.

the major axis is the vertical line that extends from (0,-3) to (0,3) and the center lies halfway between those points at (0,0).

the minor axis is the horizontal line that extends from (0,-2) and (0,2) and the center lies halfway between those points at (0,0).

you can take any line that cuts through the center and intersects with the perimeter of the ellipse, and the center will be the midpoint of that line.

here's a reference on ellipses that you might find informative.

https://www.mathsisfun.com/geometry/ellipse.html

here's a reference on domain and range you might find informative.

https://www.intmath.com/functions-and-graphs/2a-domain-and-range.php

RELATED QUESTIONS
I have a graphing problem I need help with please Quuestion:... (answered by josgarithmetic,MathTherapy)

Help with this function please... (answered by Boreal)

I need help writing an equation for this graph please.... (answered by math_tutor2020,MathTherapy)

https://imgur.com/a/CyUpRCu I need help on this algebra question... (answered by Edwin McCravy)

I need help on this parabola problem please... (answered by josgarithmetic)

I need some help on this real-world function please... (answered by josgarithmetic,MathLover1)

I need help on this function problem please!... (answered by Boreal,josgarithmetic)

Please I need help with this. Solve by completing the square x^2-10x+10 = 0... (answered by Edwin McCravy,josgarithmetic,ikleyn)

Can someone please help me graph this function? I need to find four points Graph:... (answered by MathLover1,MathTherapy)