Let the interval be the range of function . The range of is given by
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If the range of f is given by the interval (a , +infinity), we can write the following inequality
f(x) > a
add - 4 to both sides on the inequality to obtain
f(x) - 4 > a - 4
The last inequality suggests that the range of f(x) - 4 is (a - 4, +infinity)