Science:Math Exam Resources/Courses/MATH103/April 2015/Question 06 (c)/Solution 1

If we use cobwebbing, we obtain the following graphs and the points $x_{1},\cdots ,x_{5}$:

cobweb

cobweb

The process is as follows. By drawing a vertical line from $(x_{0},0)$, we obtain the point $(x_{0},F(x_{0}))$. Then, drawing a horizontal line from the point, we find the intersection point with $y=x$ graph, which is $(x_{1},x_{1})=(F(x_{0}),F(x_{0}))$. Projection of this point on $x-$axis gives the point $(x_{1},0)$. Repeating this process, we get $x_{1},\cdots ,x_{5}$.