7. Piecewise Functions
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Take notice of where the closed and open circles are.
f(x)={-x−1,x+2,x≤0x>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.
Now let's take a look at the second piece.
jumpoccurs at x=0, so this will be where the domains are divided. We cannot have an overlap in our domains so we need to take notice of where the closed and open circles are located.