The answer depends on what group or field the function is defined on.
In the complex plane, the range is the complex plane.
If the domain is all real numbers and the radical is an odd root (cube root, fifth root etc), the range is the real numbers. Otherwise, it is the complex plane.
If the domain is non-negative real numbers, the range is also the real numbers.
You need to know the domain in order to find the range.
A function that has a variable under a radical sign.
The parent function for a radical function is ( f(x) = \sqrt{x} ). This function defines the basic shape and behavior of all radical functions, which involve square roots or other roots. It has a domain of ( x \geq 0 ) and a range of ( y \geq 0 ), starting at the origin (0,0) and increasing gradually. Transformations such as vertical and horizontal shifts, stretching, or reflections can be applied to this parent function to create more complex radical functions.
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
The diagonal of a unit square, for example, is radical(2).
You need to know the domain in order to find the range.
A function that has a variable under a radical sign.
The parent function for a radical function is ( f(x) = \sqrt{x} ). This function defines the basic shape and behavior of all radical functions, which involve square roots or other roots. It has a domain of ( x \geq 0 ) and a range of ( y \geq 0 ), starting at the origin (0,0) and increasing gradually. Transformations such as vertical and horizontal shifts, stretching, or reflections can be applied to this parent function to create more complex radical functions.
The domain of the function 1/2x is {0, 2, 4}. What is the range of the function?
It is a power function.
The range of a function is the set of all of the possible values that it can take on as an output value. You find the range by inspecting the function and seeing first what the domain is, and then what the range would be for that domain. The domain, then, is the set of all of the possible values that it can take on as an input value.
i dont know, but you can find it at purplemath.com
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
It is a power function.
Find the range of a function by substituting the highest domain possible and the lowest domain possible into the function. There, you will find the highest and lowest range. Then, you should check all the possible cases in the function where a number could be divided by 0 or a negative number could be square rooted. Remove these numbers from the range. A good way to check to see if you have the correct range is to graph the function (within the domain, of course).
The function of a radical in math is to indicate the operation of taking the root of a number. It is represented by placing a radical symbol (√) before the number. The number inside the radical is known as the radicand.
The diagonal of a unit square, for example, is radical(2).