On a piece of paper graph f(x) = 3x if x<3 2x if x>3 then determine which answer choice matches the graph you drew

The graph of a piecewise function f(x) = 3x if x ≤ 3 and f(x) = 2x if x > 3 is shown in the picture.
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have:
f(x) = 3x if x ≤ 3
f(x) = 2x if x > 3
We can draw the piecewise function as shown in the attached picture.
At x = 3
f(3) = 3(3) = 9 because f(x) = 3x if x ≤ 3
Thus, the graph of a piecewise function f(x) = 3x if x ≤ 3 and f(x) = 2x if x > 3 is shown in the picture.
Learn more about the piecewise function here:
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