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The following domain and range examples have their respective solution. Each solution details the process and reasoning used to obtain the answer. EXAMPLE 1 Find the domain and the range of the function $latex f (x)= { {x}^2}+1$.

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EXAMPLE 1 Find the domain and range for the function f ( x) = x 2 + 5. Domain: The function f ( x) = x 2 + 5 is defined for all values of x since there is no restriction on the value of x. Therefore, the domain of f ( x) is “all real values of