For the dynamical system
\begin{align*}
\diff{ s }{t} = g(s, \beta),
\end{align*}
where the function $g$ of $s$ also depends on a parameter $\beta$, a bifurcation diagram with respect to the parameter $\beta$ is shown below. In this diagram, solid lines represent stable equilibria and dashed lines represent unstable equilibria.
To better determine values from the diagram, you can click the “show point” box and move the point around to read off coordinates from different parts of the graph.

When $\beta= 9$, how many equilibria are there? Determine their values, rounded to the nearest integer, and their stability.
Number of equilibria:
Rounded values of equilibria:
. (If there are more than one equilibrium, enter them in increasing order, separated by commas.)
Stability of equilibria:
Specify the stability of each equilibrium in the same order as above. Enter stable if an equilibrium is stable or unstable if it is unstable. Separate answers by commas. If there are no equilibria, enter none.
For example, if there are four equilibria and they are, in order, stable, unstable, unstable, and unstable, then you should enter stable, unstable, unstable, unstable in the answer blank.

When $\beta= 8$, how many equilibria are there? Determine their values, rounded to the nearest integer, and their stability.
Number of equilibria:
Rounded values of equilibria:
. (If there are more than one equilibrium, enter them in increasing order, separated by commas.)
Stability of equilibria:
Specify the stability of each equilibrium in the same order as above. Enter stable if an equilibrium is stable or unstable if it is unstable. Separate answers by commas. If there are no equilibria, enter none.

When $\beta= 10$, how many equilibria are there? Determine their values, rounded to the nearest integer, and their stability.
Number of equilibria:
Rounded values of equilibria:
. (If there are more than one equilibrium, enter them in increasing order, separated by commas.)
Stability of equilibria:
Specify the stability of each equilibrium in the same order as above. Enter stable if an equilibrium is stable or unstable if it is unstable. Separate answers by commas. If there are no equilibria, enter none.

Identify any bifurcation points.
Bifurcations points are at $\beta = $
. (If there are multiple bifurcation points, separate the values of $\beta$ by commas.)