how do you graph a peace wise that has one of its parameters stating 2 if x=1 (just how would you sketch that specific part)

i mean would it just be a point at (1,2)

Yes, that parameter refers to a point (1,2)

However, there could be infinite piece-wise functions that include this point.

To graph a piecewise function, you need to first determine the different parts or segments of the function and then plot the corresponding points or draw the corresponding lines for each segment. In your case, the piecewise function has a condition: "2 if x = 1."

To graph this specific part, follow these steps:

1. Identify the segment: In this case, the specific part is defined only for x = 1.

2. Plot the point: Since the condition states that the function has a value of 2 if x = 1, you can represent this as a single point on the graph. Locate the point (1, 2) on the coordinate plane.

3. Indicate the point: Mark the point (1, 2) on the graph, either by using a dot, an open circle, or a solid point, depending on the instructions given.

Keep in mind that this specific part defined for x = 1 is just one segment of the piecewise function. There may be other conditions or segments that need to be graphed as well. Make sure to consider all the different parts of the piecewise function and plot them accordingly.