Answer: domain: all real numbers. range: [-3, infinity)
Step-by-step explanation:
We've got [tex]f(x) = 2(x+1)^2 - 3[/tex].
You can plug in any number for [tex]x[/tex] without a problem, so the domain is all real numbers, written [tex]\mathbb R[/tex].
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 [tex][-3, \infty)[/tex].
