document.write( "Question 1117685: I need help with this: https://imgur.com/F0nowam \n" ); document.write( "
Algebra.Com's Answer #732811 by Theo(13342)![]() ![]() 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. \n" ); document.write( "that would be -2 <= x <= 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the range is all real values of y that are the result of the equation working on all real values of x. \n" ); document.write( "that would be -3 <= y <= 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the y-intercepts are the value of y when the value of x is equal to 0. \n" ); document.write( "those points would be (0,-3) and (0,3).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the x-intercepts are the value of x when the value of y is equal to 0. \n" ); document.write( "those point would be (-2,0) and (2,0).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the center of the ellipse is at (0,0). \n" ); document.write( "that point is in the middle of the ellipse.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "unlike a circle, the distance to every point on the ellipse is not the same. \n" ); document.write( "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.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the two lines intersecting with the perimeter of the ellipse shown are the major axis and the minor axis.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a reference on ellipses that you might find informative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.mathsisfun.com/geometry/ellipse.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a reference on domain and range you might find informative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.intmath.com/functions-and-graphs/2a-domain-and-range.php\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |