Here are two screenshots from the homework. Please use this to solve.

The values of x where the straight line intersects the curve are called fixed points. a. The term fixed point means that if x has that value at generation t, it will have that same value at all later generations. Explain why the points of intersection between the curve and the line are fixed points. b. For a > 1 there are always two points of intersection (like shown in the graph above). One of these fixed points is x = 0. Find an expression for the other fixed point in terms of a. c. We say a fixed point is unstable if values x that start very close to the fixed point move further away. Show that for a > 1, the point x = 0 is an unstable fixed point