consider the following relation.\n\n( x = - 2 | y | - 2 )\n\nstep 1 of 2 : find four points contained in the…

consider the following relation.\n\n( x = - 2 | y | - 2 )\n\nstep 1 of 2 : find four points contained in the inverse. express your values as an integer or simplified fraction.\n\nanswer\n\n( { ( quad ), ( quad ), ( quad ), ( quad ) } )

consider the following relation.\n\n( x = - 2 | y | - 2 )\n\nstep 1 of 2 : find four points contained in the inverse. express your values as an integer or simplified fraction.\n\nanswer\n\n( { ( quad ), ( quad ), ( quad ), ( quad ) } )

Answer

Explanation:

Step 1: Recall the property of inverse relation

For a relation (x = f(y)), its inverse relation is (y = f(x)). So, if ((a,b)) is on the original relation (x=-2|y|-2), then ((b,a)) is on the inverse relation.

Step 2: Find points on the original relation

  • Let (y = 0): Substitute (y = 0) into (x=-2|y|-2). Then (x=-2|0|-2=- 2). So, the point on the original relation is ((-2,0)), and the point on the inverse relation is ((0,-2)).
  • Let (y = 1): Substitute (y = 1) into (x=-2|y|-2). Then (x=-2|1|-2=-4). So, the point on the original relation is ((-4,1)), and the point on the inverse relation is ((1,-4)).
  • Let (y=-1): Substitute (y = - 1) into (x=-2|y|-2). Then (x=-2|-1|-2=-4). So, the point on the original relation is ((-4,-1)), and the point on the inverse relation is ((-1,-4)).
  • Let (y = 2): Substitute (y = 2) into (x=-2|y|-2). Then (x=-2|2|-2=-6). So, the point on the original relation is ((-6,2)), and the point on the inverse relation is ((2,-6)).

Answer:

((0,-2),(1,-4),(-1,-4),(2,-6))