What is the domain and range of y = 2(x+3)^2 - 1?

Question

anonymous · Answer

Domain: is there any x that you can plug that can make this function undefined?

anonymous · Answer

No?

anonymous · Answer

Tip: as long as there are no fractions or roots, the domain is most likely to be for all numbers.

anonymous · Answer

So the domain here is for all x (all real numbers).

anonymous · Answer

Range: the function is already ordered nicely for you
2(x+3)^2-1
2 would be the coefficient of stretch
3 is the coefficient of left and right
and -1 (the free number) is the coefficient of up and down

anonymous · Answer

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anonymous · Answer

So from that alone you can sketch a rough graph of the function.

anonymous · Answer

Okay, so would it be $$(-\infty, \infty)$$ 

And for range, would it be [-3, infinity)?