Answer:
see the explanation
Step-by-step explanation:
Find out the equation of each line of the piece wise
<em>First line</em>
The first line has an open circle at (negative 2, negative 2) and it continues horizontally to an open circle (negative 5, negative 2)
(-2,-2) to (-5,-2)
<em>Second line</em>
The second line has a closed circle at (negative 2, 0) and then continues up to an open circle at (1, 1.5)
[-2,0] to (1,1.5)
<u><em>Find the slope</em></u>
<u><em>Equation in point slope form</em></u>
we have
substitute
<u><em>Convert to slope intercept form</em></u>
so
<em>Third line</em>
The third line has a closed circle at (1, 4) and continues down to open circle (5, negative 4). Which functions represent a piece of the function?
[1,4] to (5,-4)
The equation of the line is
---> Repeat all steps that in second line
therefore
The piece wise function is equal to
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