Domain And Range Of Y Sqrt X 4

Since the square root can never yield a negative number y will.

Domain and range of y sqrt x 4. Set the radicand in greater than or equal to to find where the expression is defined. But the range is restricted by the domain. Y 0 any number inside a square root has to be positive or 0 or else the answer will be a complex solution. How to recognize the domain and range of a function by considering the possible inputs and outputs of a function.

X 4 0 solve this equation to find the domain. Then y sqrt 4 0 2 2 so the function is defined on 2 2. So the question is what are all the values that 4 x can be when x is between 2 and 2. Find the domain and range y square root of x.

Find the domain and range y square root of x 4 y x 4 y x 4 set the radicand in x 4 x 4 greater than or equal to 0 0 to find where the expression is defined. 2 2 start by solving the equation 4 x 2 0 then 2 x 2 x 0 x 2 now select a test point let it be x 0. The domain is all values of that make the expression defined. 4 x 0 4 x 0.

Thus the graph of y sqrt 4 x 2 is a semicircle with radius 2 and domain 2 2. With that being said x 4 has to be greater than or equal to 0. Find the domain and range y square root of 4 x y 4 x y 4 x set the radicand in 4 x 4 x greater than or equal to 0 0 to find where the expression is defined. X 4 so our domain is that x has to be greater than or equal to 4.

Add 4 to both sides. We can also graph a function to find its do. When x 2 we get 4 x 0 so that 0 is in the range. Domain range functions find the domain and the range of the square root function y square root of 1 x 2 learn more about functions here.