I have a solution here however with a slight change in the equation:
<span> f(x)=3x^2-6x+1
My solution is:
</span>The domain is all real numbers--there are no restrictions like a square root or variable in the denominator <span> this is a U shape parabola and you want to find the bottom point, it is at the vertex </span> <span>x=-b/2a =- (-6) /2 (3) =1 </span> <span>f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 </span> <span>the minimum is (1, -2) </span> <span>so the range is all real numbers >= -2 </span> By examining my solution, you could just answer the problem on your own! I hope it helps!