# What is the value of the range of the function f(x) = x^{2 }+ 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) = x^{2 }+ 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 x^{2}, x^{2 }+ 2 will be +ve and hence it will lie from [2,∞]

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

## What is the value of the range of the function f(x) = x^{2 }+ 2

**Summary:**

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

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