The rules that define the graphed function are y = x + 2; y = 5
How to determine the rule of the function?
The function is a piecewise function
There are two lines on the graph.
The first line has the following points
(0,2) and (3,5)
Express 2 and 5 as a sum of 2
(0,0 + 2) and (3, 3 + 2)
This means that the y value is the sum of 2 and the x value.
So, we have:
y = x + 2
The other line has a constant value of 5 for all x values
So, we have:
y = 5
Hence, the rules that define the graphed function are y = x + 2; y = 5
Read more about piecewise functions at:
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