Below is the graph of three points connected by a line segme

Below is the graph of three points connected by a line segments. You can drag each point to new positions; as you do. the segments are updated to they still join the three points. Drag the points so the graph consisting of the points with the two line segments connecting them has the following properties: None of the three points have the same y coordinate. The graph is the graph of a function g with the property that gog(2) = 1. Recall that gog refers to the composition of g with itself. After you are satisfied with your graph, click the Save Answer button. You answered this question 1 time. You can attempt this question 4 times. Your answer was interpreted as: The graph of g is given by the current position of the points and the line segments connecting them. Your answer is not correct. Your graph is supposed to have the property that gog(2) = 1. Recall that for any number x, gog(x) = g(g(x)). Applying this to the function defined by your graph, we obtain: gog(2) = g(g(2)) = g(undefined) = undefined notequalto 1.

Solution

gog(2) = 1

Lets say we take point ( 2,3) and (3, 1), these would satisfy the requirment

such g(2) = 3

g(g(2)) = g(3) = 1

So, line passing through (2,3) and (3,1)

which means that g(2) = 2

and g(g(2)) =2

which means point throudh which it passes (2,2)

3 points can be which follows the given properties can be shifted as below:

(-2, 2) ---- ( -4, 6)

(0, -2) --- ( 2,3 )

(1, -1) --- ( 3,1)