The domain and range of this graph are:
Domain: All real numbers for x.
Range: All real numbers for y such that y is greater than or equal to -2√7 and less than or equal to 2√7.
To find the range, we need to solve for y:
-3x^2 + 12y^2 = 84
12y^2 = 3x^2 + 84
y^2 = (1/4)x^2 + 7
Taking the square root of both sides, we get:
y = ±(1/2)x√(x/28)
Since the term inside the square root must be positive, we know that x/28 must be positive or zero. Therefore, x can be any real number. We also know that the square root of a positive number is always a real number, so our range is all real numbers for y within the given bounds.
Graph –3x2 + 12y2 = 84. What are the domain and range?
2 answers
AAAaannndd the bot gets it wrong yet again!
got the range exactly backwards
we need 4y^2 > 28
y^2 > 7
so y > √7 or y < -√7
got the range exactly backwards
we need 4y^2 > 28
y^2 > 7
so y > √7 or y < -√7