This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.
So, if you choose any input , you have two alternative:
- If (i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen ()
- If , the ouput will be -1.
So, let's forget about for a moment. For any input you choose, the answer is . The graph of this function is the bisector of the second and fourth quadrant.
Now remember that there is our special case: you have to "carve a hole" in our line, at , and assing to this point the value -1, instead of what we would expect, i.e. -3.
So, the graph of this function is the line , except for one point (), where we reassign the value to be -1.
And angle is formed by the union of two vertices or corners.
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See picture for the set up. You finish. Do the math.
Answer:
x = -3
Step-by-step explanation: