Question

Determine the domain and range of F(x)=2(x+1)^2-3

Answer 1

Domain is 0
range is -1

Answer 2

Answer:  domain: all real numbers.  range: [-3, infinity)

Step-by-step explanation:

We've got $f(x) = 2(x+1)^2 - 3$.

You can plug in any number for $x$ without a problem, so the domain is all real numbers, written $\mathbb R$.

If you graph the function, you can see it touches -3 but cannot go lower; however, it can reach anything higher than -3. Therefore the range is $[-3, \infty)$.