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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,∞].
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