I have this question, I don't quite know how to approach it :

g : R → R

g(x) = $\displaystyle \frac {2x^2-x}{3x^2+x+1}$

I need to find Img(g) and determine if its one-to-one function.

then it asks - what will happen to the image if we reduce the interval to [0,∞)

thanks in advance.