How do you find the domain and range of $y = 2(x-3)² - 1$ ?

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Answer 1 · 2017-07-30T08:46:58

See explanation.

The given function is a polynomial, so its domain is $RR$ .

From the graph:

graph{2(x-3)^2-1 [-10, 10, -5, 5]}

you can see, that the range is $R=[-1;+oo)$

How do you find the domain and range of y = 2(x-3)² - 1 y = 2(x-3)² - 1 ?