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Graph-Relation

Graph-Relation

You are given that the graph of the function $y=f(x)$
consists of three line segments $a$, $b$, $c$ as shown below.

Your task is to construct the graph of the equation
$f(x)=f(y)$, which also consists of a number of line segments.
For each line segment in this graph, enter the coordinates of
its endpoints into the two answer boxes below. If your answer
is correct, the line segment will be added to the graph below.
You will be scored based on the number of attempts it takes you
to complete the graph.

Trial number 1

Add the following line segment $PQ$ to the graph of $f(x)=f(y)$.

So far you have constructed the following parts of
the graph of
$f(x)=f(y)$:

Hintyes I give up; show me the solution
Another function
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Description: given a piecewise linear graph y=f(x), determine the graph of f(x)=f(y). This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games