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What is the range of the function y equals x2 plus 1?
The answer depends on the domain. If the domain is the whole of the real numbers, the range in y ≥ 1. However, you can choose to have the domain as [1, 2] in which case the range will be [2, 5]. If you choose another domain you will get another range.
What is the domain and range of the square root of x?
sqrt(x) Domain: {0,infinity) Range: {0,infinity) *note: the domain and range include the point zero.
What are common terms to represent domain and range and how do you find them?
x = the domain y = the co-domain and range is the output or something e_e
What is the domain and range of y equals the square root of four minus x squared?
The domain and the range depends on the context. For example, the domain and the range can be the whole of the complex field. Or I could define the domain as {-2, 1, 5} and then the range would be {0, 3, -21}. When either one of the range and domain is defined, the other is implied.
How do you find the domain and range of a parabola?
The domain is any subset of the real numbers that you choose, The range is the set of all values that the points in the domain are mapped to.
What is the range of the function y x2 2x 4.?
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.
What is the range of the function y equals x2 plus 1?
The answer depends on the domain. If the domain is the whole of the real numbers, the range in y ≥ 1. However, you can choose to have the domain as [1, 2] in which case the range will be [2, 5]. If you choose another domain you will get another range.
What is the range of y equals x2?
If the domain is the set of reals, then the range is the whole set of non-negative reals.
What is the theoretical domain and range of f(x)x2 5x-15?
5x>15
What is the domain of y equals x2?
The domain of y = x2 is [0,+infinity]
What is the domain of the graph of y -x2 6x 11?
Whatever you choose. The function, itself, imposes no restrictions on the domain and therefore it is up to the person using it to define the domain. Having defined the domain, the codomain, or range, is determined for you.
What is the domain and range of y equals x2 plus 1?
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}
What is the domain and range of the function y equals 1 divided by x squared?
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.
How would you use domain and range to determine whether a relation is a function?
Each element in the domain must be mapped to one and only one element in the range. If that condition is satisfied then the mapping (or relationship) is a function. Different elements in the domain can be mapped to the same element in the range. Some elements in the range may not have any elements from the domain mapped to them. These do not matter for the mapping to be a function. They do matter in terms of the function having an inverse, but that is an entirely different matter. As an illustration, consider the mapping from the domain [-10, 10] to the range [-10, 100] with the mapping defined by y = x2.
What is the domain of the range?
The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.
What is the domain of x plus 8 divided by x2-4?
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.
What is the Domain and range of x 2 plus y equals 4?
To find the domain or range, solve for a variable and see if the other variable has any restrictions on it. In this case, x2 + y = 4 y = 4 - x2 There are no restrictions on x, therefore x is in the domain of all real numbers. x = square root(4 - y) Since the argument (number in brackets) of a square root must be positive, 4 - y > 0, y < 4. Domain: x can be all real numbers. Range: y can be all real numbers less than or equal to 4.
