Math Functions Question?

Question

 

What is the domain and range for x?
What is the domain and range for x^2?
What is the domain and range for sqrt.x?
What is the domain and range for x/1 (x over 1)?
What is the domain and range for |x| (absolute value function)?

Answer 1

Domain: The domain of a function is the set of all possible input values (usually x), which allows the function formula to work.

Range: The range is the set of all possible output values (usually y), which result from using the function formula.

Algebraic function

Function	Domain	Range
f(x) = x	(-inf , + inf)	(-inf , + inf)
f(x) = x 2	(-inf , + inf)	[0 , + inf)
f(x) = | x |	(-inf , + inf)	[0 , + inf)
f(x) = Square root ( x )	[0 , + inf)	[0 , + inf)

1). y = x

2). y = x²