At x = -1 we have a jump, the value that the function takes is the one in the black dot:
f(-1) = 2
How to find the value of f(-1)?
Here we have the graph of the piecewise function y = f(x).
Using that graph, we want to find the value of f(-1).
To do so, first we should find the value x = -1 on the horizontal axis, once we do that, we can see the value of y that the function takes when x = -1.
For x = -1 we can see that we have a jump.
- On the left we have a line that has an open circle at x = -1 (the open circle means that the point x = -1 does not belong to that line).
- Then we have a single black circle at (-1, 2)
- Then at the right we have another line with an open circle at x = -1
Then the value that the function f(x) takes when x = -1 is the value in the black circle, this means that:
f(-1) =2
Learn more about functions:
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