Question

What are the intercepts of `-y=x^2+x^3+1`?

Answer 1

`x`-intercept: `(-1.47,0)`
`y`-intercept: `(0,-1)`

Explanation:

The equation can be rewritten as

`y=-x^3-x^2-1`

To find the `x`-intercept, plug in `0` for `y`, and solve the equation `-x^3-x^2-1=0`. This could be done by graphing or by a calculator.

To find the `y`-intercept, plug in `0` for `x`, and then you should get `y=-1`.

So the two intercepts are:

`x`-intercept: `(-1.47,0)`
`y`-intercept: `(0,-1)`