The coordinates of the point on the graph when x=3 are C. (3, 5)
Step-by-step explanation:
Given piece-wise function is:
[tex]y = \left \{ {{4x+1\ \ \ x<3 } \atop {2x-1\ \ \ x\geq 3 }} \right.[/tex]
In order to determine the coordinates of the point on the graph where x=3 we will see which part of the function we have to consider as the function is in two pieces.
By observing we see that the second piece of function will be used as it is for x≥ 3 so it includes 3.
Putting x = 3 in y = 2x-1
[tex]y = 2(3) -1\\y = 6-1\\y = 5[/tex]
Hence,
The coordinates of the point on the graph when x=3 are C. (3, 5)
Keywords: Functions, graph
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