if y = x2 + 1
Then the minimum value of y is 1, which happens at the point (0, 1).
It lies in the domain of real numbers.
i.e.
{y | y ≥ 1, y ∈ ℝ}
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The domain of y = x2 is [0,+infinity]
The domain is all real numbers except when the denominator equals zero: x2 - 4 = 0 x2 = 4 x = 2, -2 So the domain is all real numbers except 2 and -2.
x2+2x+1=y or y=x2 In this function the domain is x equals real values and the range is y equals all real values provided y is more than or equal to zero.
The domain of y = 1/x2 is all numbers from -infinity to + infinity except zero. The range is all positive numbers from zero to +infinity, except +infinity.
The range depends on the domain. If the domain is the complex field, the range is also the whole of the complex field. If the domain is x = 0 then the range is 4.