What is the value of the range of the function f(x) = x² + 2

Solution:

The domain and range of a function are the components of a function.

The domain is the set of all the input values of a function and range is the possible output given by the function.

Domain→ Function →Range. 

The domain of the given function f(x) = x² + 2 is [-∞,∞].

Minimum value of the given function will be 2 as x cannot be less than 0.

1. If the domain is -∞ then because of x², x² + 2 will be +ve and hence it will lie from [2,∞]

2. If the domain is ∞ then x² + 2 necessarily has to be positive hence it will lie from [2,∞].

What is the value of the range of the function f(x) = x² + 2

Summary:

The value of the range of the function f(x) = x² + 2 is [2,∞].