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

Dec 26, 2017

$x$-intercept: $\left(- 1.47 , 0\right)$
$y$-intercept: $\left(0 , - 1\right)$

#### 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: $\left(- 1.47 , 0\right)$
$y$-intercept: $\left(0 , - 1\right)$