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Domain is greater than or equal to zero. same with range

Q: What is the domain and range of y equals the square root of x?

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The simplest answer is that the domain is all non-negative real numbers and the range is the same. However, it is possible to define the domain as all real numbers and the range as the complex numbers. Or both of them as the set of complex numbers. Or the domain as perfect squares and the range as non-negative perfect cubes. Or domain = {4, pi} and range = {8, pi3/2} Essentially, you can define the domain as you like and the definition of the range will follow or, conversely, define the range and the domain definition will follow,

The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.

Assuming you mean sqrt(x-3) rather than sqrt(x) - 3, the domain can be any subset of of x â‰¥ 3. The range will depend on the domain but needs to be divided in two so that it contains only one of the two roots.

To an extent, the answer depends on what the range is. The domain can be the set of complex numbers, with the range also the complex numbers. The domain can be the whole of the real numbers if the range can be complex. If the range needs to be real, then the domain must be the real numbers excluding the interval (0,9). As the range is restricted (rational, integer), the domain will also shrink.

Square root of 6.25 equals ± 2.5

Related questions

Domian is x>-6 Range is y> or equal to 0

matrix

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.

x

what is the domain of g(x) equals square root of x plus 1? √(x+1) ≥ 0 x+1≥0 x≥-1 Domain: [-1,∞)

sqrt(x) Domain: {0,infinity) Range: {0,infinity) *note: the domain and range include the point zero.

The simplest answer is that the domain is all non-negative real numbers and the range is the same. However, it is possible to define the domain as all real numbers and the range as the complex numbers. Or both of them as the set of complex numbers. Or the domain as perfect squares and the range as non-negative perfect cubes. Or domain = {4, pi} and range = {8, pi3/2} Essentially, you can define the domain as you like and the definition of the range will follow or, conversely, define the range and the domain definition will follow,

The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.

In the complex field, the domain and range are both the whole of the complex field.If restricted to real numbers, the domain is x >= 4 and y can be all real numbers >= 0 or all real numbers <= 0 [or some zigzagging pattern of that set].

Assuming you mean sqrt(x-3) rather than sqrt(x) - 3, the domain can be any subset of of x â‰¥ 3. The range will depend on the domain but needs to be divided in two so that it contains only one of the two roots.

To an extent, the answer depends on what the range is. The domain can be the set of complex numbers, with the range also the complex numbers. The domain can be the whole of the real numbers if the range can be complex. If the range needs to be real, then the domain must be the real numbers excluding the interval (0,9). As the range is restricted (rational, integer), the domain will also shrink.

Square root of 6.25 equals ± 2.5