functional plot

Questions
1

Hi,
I have a function like f(x)=y^3+2, where f(x)=Sqrt[x^2+x+1]. Now I want to plot y as function of x without writing x explicitly in terms of y. How can I make such plot using mathematica?

Thank you so much.
HP

2

sorry, I wanna say that the plot y as a function of x, simply y vs x plot in y^3+2=Sqrt[x^2+x+1].

HP

3

ContourPlot[y^3 + 2 == Sqrt[x^2 + x + 1], {x, -10, 10}, {y, -5, 5},
Frame → False, Axes → True, AspectRatio → Automatic]

or

ContourPlot[y^3 + 2 == Sqrt[x^2 + x + 1], {y, -10, 10}, {x, -5, 5},
Frame → False, Axes → True, AspectRatio → Automatic]

ContourPlot and ContourPlot3D will produce the implicit plots of functions