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What is Square root functions

square root

Square root functions (for example: y= √x) is defined as the function where the output ‘y’ when multiplied by itself (squared) gives the input ‘x’. The symbol ‘√’is called the ‘radical symbol’ and the general form of any square root function is given by:

The general form of any square root function is given by:

square root functions

 

The domain of a square root function is not all real numbers because of the fact that we have a square root right there!

To get real solutions, no negative number is allowed under the square root; hence the domain condition becomes:

square root function

 

Example:Find the domain of y = √(x+5)

arrow                          So, set it according to the above condition always and get

->  x+5 > 0 -> x > -5

Interval notation: [-5, infinity)

The constants ‘a’, ’c’ and‘d’ transform the graph of the parent function horizontally and vertically.

Example: Graph the function: y= √(x-4) – 2

Domain: x- c>= 0  ->   x>= 4

square rootnew square root

Then fill the table with values based on the domain.

 

For More info about Math Equations and Relationshipsconnect with tutors on Math Assignment Help!!

You can also, Read our other blog What Is Area Of Plane Shapes 

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