7. Piecewise Functions
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Take notice of where the closed and open circles are.
f(x)=⎩⎪⎪⎨⎪⎪⎧1,2x,-21x+2,if -x≤-2if -2<x≤0if -x>0
To write the piecewise function for the given graph, we need to find the equation of the line representing each piece and then restrict the domain accordingly.
Let's begin by finding the slope and y-intercept of the first piece of the function. We can extend the line to the y-axis to help us find the intercept.
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