f(x) = (x - 3)2, with domain [3, ∞)

What is the range of function f?

1 answer

Knowing that the function is linear, we can safely evaluate the function at the two extremes of the domain to obtain the range.
f(x)=2(x-3)
f(3)=2(3-3)=0
f(∞)=2(∞-3)=∞

Therefore the range of f(x) is
[0,∞)
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