Question

The range of the function f(x)=x2 + 2x + 2 is

Answer 1

hope ur eq is
y=x^2+2x+2
now
write the eq like
f(x)=x^2+2x+1+1
f (x)=(x^2+2x+1)+1
f (x)=(x+1)^2+1
now
since (x+1)^2>=0 /*means always positive*/
so (x+1)^2+1>=1 /*adding 1 both side*/
f (x)>=1
so the range of f (x) will be
[1, +ve infinity )

hope it will help you