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.
In y=-2x+7 the graph will rise from right to left while in y=2x+7 the graph will rise from left to right. Which gives us in conclusion of the slope is negative the graph line will rise from right to left and if positive then left to right
5 bags with 6 flower bulbs in each equals 30.
He planted all but 3
30-3=27
Leonard planted 27 bulbs
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