Question

Find the points of intersection of the curve $y=x^3+1$ with co -ordinate axes.

Answer 1

The graph of $y=x^3+1$ is shown in image

put $x=0$ in equation,we will get $y=0$

and if we out $y=0$ ,we will get $x=-1,\omega ,{\omega }^2$

because $\omega ,{\omega }^2$ are imaginary numbers ,hence we can not find out the position of these two in co-ordinate axis.

hence $(-1,0)$ and $(0,1)$ are point of intersection with co-ordinate axis.