Answer: [tex]f(x)=\dfrac{3}{2}x[/tex].
Step-by-step explanation:
Assume one block in the graph takes one value.
From the given graph, it can be seen that the line is passing through two points (0,0) and (2,3).
We know that the equation of a line passing through points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then , the equation of a line passing through points (0,0) and (2,3) is given by :-
[tex](y-0)=\dfrac{3-0}{2-0}(x-0)\\\\\Rightarrow y=\dfrac{3}{2}x[/tex]
Hence, the equations represents the given graph [tex]f(x)=\dfrac{3}{2}x[/tex].
